Take the rug outside and lay it flat on an elevated surface like a plastic table. Aim your garden hose at the rug and spray the water evenly across the rug. Let it drip off the sides. Use some towels to blot excess water, then let the rug air dry. This can take a few days since you have soaked the rug.
You shouldn’t let the rug air dry vertically. The water weight can stretch the rug, causing permanent damage.