Finding the Third Proportional to 152,889 and 359,739

Step by Step Solution

1. Step 1: Write the proportion equation
   152,889 : 359,739 = 359,739 : x
2. Step 2: Convert to fraction form
   152,889/359,739 = 359,739/x
3. Step 3: Cross multiply
   152,889x = 359,739 × 359,739
4. Step 4: Simplify right side
   152,889x = 129,412,148,121
5. Step 5: Solve for x
   x = 129,412,148,121/152,889
6. Step 6: Final answer
   x = 846,445.12