Finding the Third Proportional to 106,632 and 231,345

Step by Step Solution

1. Step 1: Write the proportion equation
   106,632 : 231,345 = 231,345 : x
2. Step 2: Convert to fraction form
   106,632/231,345 = 231,345/x
3. Step 3: Cross multiply
   106,632x = 231,345 × 231,345
4. Step 4: Simplify right side
   106,632x = 53,520,509,025
5. Step 5: Solve for x
   x = 53,520,509,025/106,632
6. Step 6: Final answer
   x = 501,917.90