Finding the Third Proportional to 212,510 and 462,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   212,510 : 462,403.50 = 462,403.50 : x
2. Step 2: Convert to fraction form
   212,510/462,403.50 = 462,403.50/x
3. Step 3: Cross multiply
   212,510x = 462,403.50 × 462,403.50
4. Step 4: Simplify right side
   212,510x = 213,816,996,812.25
5. Step 5: Solve for x
   x = 213,816,996,812.25/212,510
6. Step 6: Final answer
   x = 1,006,150.28