Unpolarized light of intensity \(I_{0}\) is made to pass through three polarizers \(P_{1}\), \(P_{2}\) and \(P_{3}\) successively. The polarization axis of \(P_{2}\) makes an angle of \(60^{\circ }\) with that of \(P_{1}\), while that of \(P_{3}\) makes an angle of \(45^{\circ }\) with that of the \(P_{2}\). If \(I_{0}=xI_{3}\), the value of '\(x\)' is \(\left(\cos 45^{\circ }=\frac{1}{\sqrt{2}},\,\cos 60^{\circ }=\frac{1}{2}\right)\)