A scheme for teleporting a three-particle Greenberger-Horne-Zeilinger (GHZ) state from a sender to either of the two receivers is proposed, where the quantum channel is composed of two three-particle W states. The results show that, for such a maximally entangled quantum channel, there is still a certain probability of successful teleportation if the sender performs two generalized Bell-state measurements and Hadamard operation while either of the two receivers performs the controlled-not operation and introduces an appropriate unitary transformation with the help of the other receiver's suitable measurements and classical information. The present scheme may be directly generalized to teleport an unknown n-particle GHZ state from a sender to either of the two receivers by introducing n-2 ancillary particles and performing n-2 controlled-not operations with the n-2 auxiliary particles as the target bit.