The Collaborative International Dictionary of English v.0.48:

Balance \Bal"ance\ (b[a^]l"ans), v. t. [imp. & p. p. Balanced
   (b[a^]l"anst); p. pr. & vb. n. Balancing
   (b[a^]l"an*s[i^]ng).] [From Balance, n.: cf. F. balancer.]
   1. To bring to an equipoise, as the scales of a balance by
      adjusting the weights; to weigh in a balance.
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   2. To support on a narrow base, so as to keep from falling;
      as, to balance a plate on the end of a cane; to balance
      one's self on a tight rope.
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   3. To equal in number, weight, force, or proportion; to
      counterpoise, counterbalance, counteract, or neutralize.
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            One expression . . . must check and balance another.
                                                  --Kent.
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   4. To compare in relative force, importance, value, etc.; to
      estimate.
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            Balance the good and evil of things.  --L'Estrange.
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   5. To settle and adjust, as an account; to make two accounts
      equal by paying the difference between them.
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            I am very well satisfied that it is not in my power
            to balance accounts with my Maker.    --Addison.
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   6. To make the sums of the debits and credits of an account
      equal; -- said of an item; as, this payment, or credit,
      balances the account.
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   7. To arrange accounts in such a way that the sum total of
      the debits is equal to the sum total of the credits; as,
      to balance a set of books.
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   8. (Dancing) To move toward, and then back from,
      reciprocally; as, to balance partners.
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   9. (Naut.) To contract, as a sail, into a narrower compass;
      as, to balance the boom mainsail.
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   Balanced valve. See Balance valve, under Balance, n.
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   Syn: To poise; weigh; adjust; counteract; neutralize;
        equalize.
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WordNet (r) 3.0 (2006):

balancing
    n 1: getting two things to correspond; "the reconciliation of
         his checkbook and the bank statement" [syn:
         reconciliation, balancing]

Moby Thesaurus II by Grady Ward, 1.0:

114 Moby Thesaurus words for "balancing":
   adversative, adverse, adversive, allegory, amendatory, amends,
   analogy, antagonistic, anti, antipathetic, antithetic, antonymous,
   at cross-purposes, atonement, clashing, commutation,
   comparative anatomy, comparative degree, comparative grammar,
   comparative judgment, comparative linguistics,
   comparative literature, comparative method, compare, comparing,
   comparison, compensating, compensation, compensatory, conflicting,
   confrontation, confronting, confrontment, contradictory,
   contradistinct, contrapositive, contrarious, contrary, contrast,
   contrasted, contrastiveness, converse, coordination, correlation,
   counter, counteracting, counteraction, counteractive,
   counterbalancing, counterpoised, countervailing, dead against,
   discordant, discrepant, distinction, distinctiveness, equalization,
   evening, expiation, expiatory, eyeball to eyeball, harmonization,
   hostile, inconsistent, indemnification, indemnificatory, indemnity,
   inimical, integration, inverse, lex talionis, likening, matching,
   metaphor, obverse, offsetting, opposed, opposing, opposite,
   opposition, oppositional, oppositive, oppugnant, parallelism,
   penitential, perverse, proportion, recompense, recompensive,
   rectification, rectifying, redress, regularization, relation,
   reparation, reparative, repayment, repugnant, restitution,
   retaliation, retaliatory, revenge, reverse, satisfaction, simile,
   similitude, squared off, substitution, symmetrization,
   trope of comparison, weigh-in, weighing, weighing-in,
   weighing-out