Finding the Third Proportional to 152,885 and 359,729

Step by Step Solution

1. Step 1: Write the proportion equation
   152,885 : 359,729 = 359,729 : x
2. Step 2: Convert to fraction form
   152,885/359,729 = 359,729/x
3. Step 3: Cross multiply
   152,885x = 359,729 × 359,729
4. Step 4: Simplify right side
   152,885x = 129,404,953,441
5. Step 5: Solve for x
   x = 129,404,953,441/152,885
6. Step 6: Final answer
   x = 846,420.21