Things appear to be moving along according to plan for Apple and Google, according to the latest numbers from comScore.

For the three-month period ending in May, Android ranked as the top smartphone platform, with 51 percent market share, up 0.8 percentage points from the previous period.

Five years after the release of the first iPhone, Apple’s share of the smartphone market reached about 32 percent in May, an increase of 1.7 percentage points.

Research In Motion’s BlackBerry ranked third, with about 11 percent of the platform market, followed by Microsoft at 4 percent and Symbian at 1 percent. Microsoft's Windows Phone gained 0.1 percent sequentially, while BlackBerry lost 2 percent from the previous period.

Samsung ranked as the top OEM with about 26 percent of U.S. mobile subscribers, up 0.1 percentage points, followed by LG with a 19 percent share. Apple continued to grow its share in the OEM market, ranking third with 15 percent, followed by Motorola with 12 percent and HTC with 6 percent.

Overall, nearly 110 million people in the United States owned smartphones during the three months ending in May, up 5 percent versus the three-month period ending in February.

Text messaging was the top application. In May, nearly 75 percent of U.S. mobile subscribers used text messaging on their mobile device. Downloaded applications were used by 51 percent of subscribers, an increase of 1.6 percentage points, while browsers were used by nearly 50 percent.