The source of the Rhine is in Switzerland, specifically canton Graubünden.
The nearest river to fit your description is the River Aare
The river Rhine starts in canton Graubünden, Switzerland.
The Rhine begins in the Alps of Switzerland,
The Netherlands.
Switzerland.
Germany,
Liechtenstein.
The Netherlands.
It Doesn't, The Rhine flows into the North Sea, not the Mediterranean.
The Rhine flows North to the North Sea, not the Mediterranean
Germany. Austria has the Upper Rhine on its borders, but the river does not flow through Austria.
Liechtenstein.