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We report for the first time enhancement of the supercurrent by means of injection in a mesoscopic three terminal planar SN-SNS device made of Al on GaAs. When a current is injected from one of the superconducting Al electrodes at an injection bias V= Δ (T)/e, the dc Josephson current between the other two superconducting electrodes has a maximum, giving evidence for an enhancement due to a nonequilibrium injection into bound Andreev states of the underlying semiconductor. The effect persists to temperatures where the equilibrium supercurrent has vanished.