Measurement of the inclusive jet cross section in $p\bar{p}$ collisions at $\sqrt{s}=1.96$ TeV as a function of jet $E_\perp$, for $E_\perp >$ 62 GeV. The data is collected by the CDF II detector and has an integrated luminosity of 1.13 fb$^{-1}$. The measurement was made using the cone-based Midpoint jet clustering algorithm in rapidity bins within $|y|<2.1$. This measurement can be used to provide increased precision in PDFs at high parton momentum fraction $x$.