Finding the Third Proportional to 147,840 and 231,605

Step by Step Solution

1. Step 1: Write the proportion equation
   147,840 : 231,605 = 231,605 : x
2. Step 2: Convert to fraction form
   147,840/231,605 = 231,605/x
3. Step 3: Cross multiply
   147,840x = 231,605 × 231,605
4. Step 4: Simplify right side
   147,840x = 53,640,876,025
5. Step 5: Solve for x
   x = 53,640,876,025/147,840
6. Step 6: Final answer
   x = 362,830.60