The term 'Rhone's Capital' can be solved by two different crossword solutions: Lyons (5 letters) and Lyon (4 letters). Lyon is the capital of the Rhone department in France and is the third largest city in the country. It is located in the Auvergne-Rhone-Alpes region and is known for its historical and architectural landmarks. The city is also a major economic hub, with many international companies having their headquarters there.