Potential
late Middle English: from late Latin potentialis, from potentia ‘power’, from potent- ‘being able’ (see potent1). The noun dates from the early 19th century.
wiktionary
From Late Latin potentialis, from Latin potentia(“power”), from potens(“powerful”); synchronically analysable as potent + -ial.
etymonline
potential (adj.)
late 14c., "possible" (as opposed to actual), "capable of being or becoming," from Old French potenciel and directly from Medieval Latin potentialis "potential," from Latin potentia "power, might, force;" figuratively "political power, authority, influence," from potens "powerful," from potis "powerful, able, capable; possible;" of persons, "better, preferable; chief, principal; strongest, foremost," from PIE root *poti- "powerful; lord."
The noun, meaning "that which is possible, anything that may be" is attested by 1817 (Coleridge), from the adjective. Middle English had potencies (plural) "a caustic medicine" (early 15c.).