Finding the Third Proportional to 152,876 and 359,708

Step by Step Solution

1. Step 1: Write the proportion equation
   152,876 : 359,708 = 359,708 : x
2. Step 2: Convert to fraction form
   152,876/359,708 = 359,708/x
3. Step 3: Cross multiply
   152,876x = 359,708 × 359,708
4. Step 4: Simplify right side
   152,876x = 129,389,845,264
5. Step 5: Solve for x
   x = 129,389,845,264/152,876
6. Step 6: Final answer
   x = 846,371.21