Finding the Third Proportional to 107,923.50 and 231,705

Step by Step Solution

1. Step 1: Write the proportion equation
   107,923.50 : 231,705 = 231,705 : x
2. Step 2: Convert to fraction form
   107,923.50/231,705 = 231,705/x
3. Step 3: Cross multiply
   107,923.50x = 231,705 × 231,705
4. Step 4: Simplify right side
   107,923.50x = 53,687,207,025
5. Step 5: Solve for x
   x = 53,687,207,025/107,923.50
6. Step 6: Final answer
   x = 497,456.13