Finding the Third Proportional to 85,431 and 199,605

Step by Step Solution

1. Step 1: Write the proportion equation
   85,431 : 199,605 = 199,605 : x
2. Step 2: Convert to fraction form
   85,431/199,605 = 199,605/x
3. Step 3: Cross multiply
   85,431x = 199,605 × 199,605
4. Step 4: Simplify right side
   85,431x = 39,842,156,025
5. Step 5: Solve for x
   x = 39,842,156,025/85,431
6. Step 6: Final answer
   x = 466,366.49