Finding the Third Proportional to 152,845 and 359,638

Step by Step Solution

1. Step 1: Write the proportion equation
   152,845 : 359,638 = 359,638 : x
2. Step 2: Convert to fraction form
   152,845/359,638 = 359,638/x
3. Step 3: Cross multiply
   152,845x = 359,638 × 359,638
4. Step 4: Simplify right side
   152,845x = 129,339,491,044
5. Step 5: Solve for x
   x = 129,339,491,044/152,845
6. Step 6: Final answer
   x = 846,213.43