prosperous vs prospering

prosperous and prospering both are adjectives.

Word	Noun	Adjective	Verb	Adverb
prosperous	No	Yes	No	No
prospering	No	Yes	No	No

As adjectives, prosperous and prospering are synonyms defined as:

Other synonyms of prosperous include booming, burgeoning, flourishing, palmy, roaring, thriving.

prosperous (adjective)	prospering (adjective)
marked by peace and prosperity	very lively and profitable
presaging or likely to bring good luck or a good outcome
in fortunate circumstances financially; moderately rich
very lively and profitable