Finding the Third Proportional to 152,872 and 359,698

Step by Step Solution

1. Step 1: Write the proportion equation
   152,872 : 359,698 = 359,698 : x
2. Step 2: Convert to fraction form
   152,872/359,698 = 359,698/x
3. Step 3: Cross multiply
   152,872x = 359,698 × 359,698
4. Step 4: Simplify right side
   152,872x = 129,382,651,204
5. Step 5: Solve for x
   x = 129,382,651,204/152,872
6. Step 6: Final answer
   x = 846,346.30