  We construct a five dimensional supersymmetric SO(10)$\times$D$_3$ grand
unified model with an $S^1/(Z_2 \times Z^\prime_2)$ orbifold as the extra
dimension. The orbifold breaks half of the supersymmetry and breaks the SO(10)
gauge symmetry down to ${\rm SU(4)}_C \times {\rm SU(2)}_L \times {\rm
SU(2)}_R$. The Higgs mechanism is used to break the remaining gauge symmetry
the rest of the way to the Standard Model. We place matter fields variously in
the bulk and on the orbifold fixed points and the resulting massless fields are
mixtures between these brane and bulk fields. A chiral adjoint field in the
bulk gets a U(1)$_X$ vacuum expectation value, resulting in an $X$-dependent
localization of the bulk matter fields and the Standard Model Higgs field. This
Higgs field localization allows us to simultaneously explain the hierarchies
$m_u < m_d$ and $m_t \gg m_b$. The model uses 11 parameters to fit the 13
independent low energy observables of the quark and charged lepton Yukawa
matrices. The model predicts the values of two quark mass combinations,
$\f{m_u}{m_c}$ and $m_d m_s m_b$, each of which are predicted to be
approximately $1 \sigma$ above their experimental values. The remaining
observables are successfully fit at the 5% level.
