Final answer:
Winston Churchill was proposed to become the Prime Minister of Britain after Neville Chamberlain's resignation in 1940, during the crucial period of World War II.
Step-by-step explanation:
Upon the resignation of Neville Chamberlain in 1940, during World War II, it was proposed that Winston Churchill should take on the role of Prime Minister of Britain. Churchill is well-known for his leadership during this tumultuous period, famously stating his dedication to the war effort and his readiness to offer 'blood, toil, tears, and sweat'. His ascendancy to the position of Prime Minister marked a significant turning point in the war, as Churchill was a vehement opponent of Adolf Hitler and played a critical role in mobilizing Britain against Nazi Germany.