Finding the Third Proportional to 210,574 and 460,516

Step by Step Solution

1. Step 1: Write the proportion equation
   210,574 : 460,516 = 460,516 : x
2. Step 2: Convert to fraction form
   210,574/460,516 = 460,516/x
3. Step 3: Cross multiply
   210,574x = 460,516 × 460,516
4. Step 4: Simplify right side
   210,574x = 212,074,986,256
5. Step 5: Solve for x
   x = 212,074,986,256/210,574
6. Step 6: Final answer
   x = 1,007,128.07