We compute black hole masses and bolometric luminosities for 87 obscured AGN in the redshift range 0.25 \leq z \leq 1.25 , selected from the GOODS deep multi-wavelength survey fields via their X-ray emission . We fit the optical images and obtain morphological parameters for the host galaxy , separating the galaxy from its central point source , thereby obtaining a four-band optical SED for each active nucleus . We calculate bolometric luminosities for these AGN by reddening a normalized mean SED of GOODS broad-line AGN to match the observed central point-source SED of each obscured AGN . This estimate of L _ { bol } has a smaller spread than simple bolometric corrections to the X-ray luminosity or direct integration of the observed multi-wavelength SED , suggesting it is a better measure . We estimate central black hole masses from the bulge luminosities . The black hole masses span a wide range , 7 \times 10 ^ { 6 } M _ { \odot } to 6 \times 10 ^ { 9 } M _ { \odot } ; the median black hole mass is 5 \times 10 ^ { 8 } M _ { \odot } . The majority of these AGN have L / L _ { Edd } \leq 0.01 , and we detect no significant evolution of the mean Eddington ratio to z = 1.25 . This implies that the bulk of black hole growth in these obscured AGN must have occurred at z \gtrsim 1 and that we are observing these AGN in a slow- or no-growth state .