Finding the Third Proportional to 152,878 and 359,713

Step by Step Solution

1. Step 1: Write the proportion equation
   152,878 : 359,713 = 359,713 : x
2. Step 2: Convert to fraction form
   152,878/359,713 = 359,713/x
3. Step 3: Cross multiply
   152,878x = 359,713 × 359,713
4. Step 4: Simplify right side
   152,878x = 129,393,442,369
5. Step 5: Solve for x
   x = 129,393,442,369/152,878
6. Step 6: Final answer
   x = 846,383.67