Finding the Third Proportional to 231,301 and 337,105

Step by Step Solution

1. Step 1: Write the proportion equation
   231,301 : 337,105 = 337,105 : x
2. Step 2: Convert to fraction form
   231,301/337,105 = 337,105/x
3. Step 3: Cross multiply
   231,301x = 337,105 × 337,105
4. Step 4: Simplify right side
   231,301x = 113,639,781,025
5. Step 5: Solve for x
   x = 113,639,781,025/231,301
6. Step 6: Final answer
   x = 491,306.92