Here's what rhymes with proserchomai.
my nigh mai muy nai mei by high why die lie thy y buy deny guy tie vi hi shy sigh bi bye chi dye fi hy pi pie thai thigh vie dei ly psi quae rye ty wir awry hai lye wry cy fy kai lai luy sy tai thei wai phi apply dry supply try cry fly sky defy spy certify fry ply sly pry tri trie belie pri untie sty bonsai amebae stye turfy lanai banzais slier imply nearby rely decry pupae termini amoebae edify overlie resupply aquae deify spry blowfly overfly versify shanghai drachmai overbuy reply thereby satisfy whereby comply hereby modify nuclei verify goodbye notify purify underlie alibi fortify nullify pacify ratify samurai standby unify solidify terrify typify codify descry dignify mollify oversupply ramify vilify acidify firefly ossify retry triply vivify horrify misapply stupefy scurfy barfly hyperbolae mummify vitrify refortify ripply speechify syllabify dandify yuppify identify justify occupy stimuli specify alkali classify signify simplify testify butterfly glorify gratify alveoli amplify diversify magnify rectify beautify falsify lullaby crucify mortify personify dragonfly mystify stratify stultify ultrahigh petrify reunify revivify scarify prettify beatify gentrify solemnify clarify multiply qualify intensify quantify indemnify liquefy objectify oversimplify demystify preoccupy calcify emulsify cumuli dissatisfy liquify declassify exemplify detoxify electrify reclassify misidentify disqualify transmogrify