Step 1 :Let's denote the number of streets named Second Street as x and the number of streets named Main Street as y.
Step 2 :We know that the total number of streets bearing one of these names is 14,792, so we can write this as an equation: \(x + y = 14792\).
Step 3 :We also know that there are 222 more streets named Second Street than Main Street, so we can write this as another equation: \(x = y + 222\).
Step 4 :We can solve this system of equations to find the values of x and y.
Step 5 :The solution to the system of equations is {x: 7507, y: 7285}.
Step 6 :So, the number of streets named Second Street is \(\boxed{7507}\) and the number of streets named Main Street is \(\boxed{7285}\).