Finding the Third Proportional to 152,885 and 231,638

Step by Step Solution

1. Step 1: Write the proportion equation
   152,885 : 231,638 = 231,638 : x
2. Step 2: Convert to fraction form
   152,885/231,638 = 231,638/x
3. Step 3: Cross multiply
   152,885x = 231,638 × 231,638
4. Step 4: Simplify right side
   152,885x = 53,656,163,044
5. Step 5: Solve for x
   x = 53,656,163,044/152,885
6. Step 6: Final answer
   x = 350,957.67