Finding the Third Proportional to 202,861.50 and 315,345

Step by Step Solution

1. Step 1: Write the proportion equation
   202,861.50 : 315,345 = 315,345 : x
2. Step 2: Convert to fraction form
   202,861.50/315,345 = 315,345/x
3. Step 3: Cross multiply
   202,861.50x = 315,345 × 315,345
4. Step 4: Simplify right side
   202,861.50x = 99,442,469,025
5. Step 5: Solve for x
   x = 99,442,469,025/202,861.50
6. Step 6: Final answer
   x = 490,198.83