Finding the Third Proportional to 158,605 and 231,577

Step by Step Solution

1. Step 1: Write the proportion equation
   158,605 : 231,577 = 231,577 : x
2. Step 2: Convert to fraction form
   158,605/231,577 = 231,577/x
3. Step 3: Cross multiply
   158,605x = 231,577 × 231,577
4. Step 4: Simplify right side
   158,605x = 53,627,906,929
5. Step 5: Solve for x
   x = 53,627,906,929/158,605
6. Step 6: Final answer
   x = 338,122.42