In last few years, several cosmologists have been used different equation of states (EOS) (namely, Phantom energy, generalized Chaplygin gas, Vander Walls quintessence EOS etc ) to explain the present accelerated expansion of the Universe. By using the same EOS, some theoretical physicists have been trying to construct traversable wormholes. Recently, Ananda and Bruni [Phys.Rev.D74:023523,2006] have proposed quardratic EOS to describe homogeneous and inhomogeneous cosmological models. In this, article we explore the possibility that the wormholes be supported by quardratic EOS. We have found a series solution of Einstein equations describing
wormhole for a matter source that is characterized by quardratic EOS.