The Collaborative International Dictionary of English v.0.48:

Thrive \Thrive\ (thr[imac]v), v. i. [imp. Throve (thr[=o]v) or
   Thrived (thr[imac]vd); p. p. Thrived or Thriven
   (thr[i^]v"'n); p. pr. & vb. n. Thriving.] [OE.
   [thorn]riven, Icel. [thorn]r[imac]fask; probably originally,
   to grasp for one's self, from [thorn]r[imac]fa to grasp; akin
   to Dan. trives to thrive, Sw. trifvas. Cf. Thrift.]
   1. To prosper by industry, economy, and good management of
      property; to increase in goods and estate; as, a farmer
      thrives by good husbandry.
      [1913 Webster]

            Diligence and humility is the way to thrive in the
            riches of the understanding, as well as in gold.
                                                  --I. Watts.
      [1913 Webster]

   2. To prosper in any business; to have increase or success.
      "They by vices thrive." --Sandys.
      [1913 Webster]

            O son, why sit we here, each other viewing
            Idly, while Satan, our great author, thrives?
                                                  --Milton.
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            And so she throve and prospered.      --Tennyson.
      [1913 Webster]

   3. To increase in bulk or stature; to grow vigorously or
      luxuriantly, as a plant; to flourish; as, young cattle
      thrive in rich pastures; trees thrive in a good soil.
      [1913 Webster]

WordNet (r) 3.0 (2006):

thriving
    adj 1: very lively and profitable; "flourishing businesses"; "a
           palmy time for stockbrokers"; "a prosperous new
           business"; "doing a roaring trade"; "a thriving tourist
           center"; "did a thriving business in orchids" [syn:
           booming, flourishing, palmy, prospering,
           prosperous, roaring, thriving]

Moby Thesaurus II by Grady Ward, 1.0:

72 Moby Thesaurus words for "thriving":
   abundance, abundant, advancing, balmy, blooming, blossoming,
   booming, bountiful, budding, burgeoning, bursting, bursting out,
   clear, copious, creative, crescent, developed, ease, easy,
   exuberant, fair, fat, fecund, fertile, florescent, flourishing,
   flowering, fructiferous, fruitful, fruiting, full-fledged,
   full-grown, fully developed, generous, going strong, growing,
   grown, grown-up, halcyon, hypertrophied, in full swing,
   in good case, lush, luxuriant, mature, overdeveloped, overgrown,
   palmy, piping, plenteous, plentiful, pregnant, productive,
   progressing, proliferous, prolific, prospering, prosperous, rich,
   roaring, robust, rosy, seminal, sleek, sprouting, superabundant,
   swarming, teeming, thrifty, uberous, vigorous, well-being