Succeed, prosper, thrive, flourish can mean to attain or to be attaining a desired end.
Succeed (see also FOLLOW ) implies little more than this. Both persons and things succeed when they are effective in gaining their purposes or ends, in particular or in general; the term implies an antithesis to fail .
Prosper carries an implication of continued or long-continuing success; it usually also suggests increasing success. Only through the context is it clear whether the success is in the continuation or the increase of health, of wealth, or of well-being.
Thrive adds the implication of vigorous growth; it often also implies succeeding noticeably because of or in spite of conditions or circumstances stipulated by the context.
Flourish implies a period of vigorous growth and expansion (as in an institution, a business, an art, or a science) at or towards the peak of development or productivity and without signs of decay or decadence; it carries no suggestion of how far this growth will be maintained and sometimes by implication hints at a future decline. It is also used of an individual to indicate the period of his prime or time of high success.