prospering vs prosperous

prospering and prosperous both are adjectives.

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

As adjectives, prospering and prosperous are synonyms defined as:

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

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