A lot of double actions revolvers were produced and sold, more than single actions, but the Gospel according to John Ford made the Colt Peacemaker iconic.
Colt produced approx 192,000 BP Model 1873s by 1900. Half of those were in .45 Colt. The rest in .44-40, .38-40, .32-20, .41 Colt, and .44 Henry (1,963). The Military purchased 37,063 of the production between 1893 and 1891. In 1874, military purchases comprised 12,500 and civilian 3,500.
For the S&W, production started in 1870. 8,969 of the Schofield model in .45 Schofield were purchased by the military. Civilian production comprised 32,800 1st Models, 2nd Models, and Civilian Russian models. 500 Model 3 American transitional. 48,713 New Model 3s. This does not include foreign military purchases which were about 160,000. The also produced over 300,000 double action versions in .38 S&W by 1895 and 54,668 double actions in .44 Russian between 1881 and 1913. S&W also produced non Model 3 break-top double actions in this period in various calibers including .44-40 and .38-40.
So, pre-1900 production of S&W Model 3 single action and double actions variants in .38 caliber and larger outnumbered Colt 1873s.