"prospering" in the verb sense
1. thrive, prosper, fly high, flourish
make steady progress be at the high point in one's career or reach a high point in historical significance or importance
"The new student is thriving"
"prospering" in the adjective sense
1. booming, flourishing, palmy, prospering, prosperous, roaring, thriving
very lively and profitable
"a palmy time for stockbrokers"
"a prosperous new business"
"doing a roaring trade"
"a thriving tourist center"
"did a thriving business in orchids"
Source: WordNet® (An amazing lexical database of English)
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