Finding the Third Proportional to 152,002.50 and 338,956.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,002.50 : 338,956.50 = 338,956.50 : x
2. Step 2: Convert to fraction form
   152,002.50/338,956.50 = 338,956.50/x
3. Step 3: Cross multiply
   152,002.50x = 338,956.50 × 338,956.50
4. Step 4: Simplify right side
   152,002.50x = 114,891,508,892.25
5. Step 5: Solve for x
   x = 114,891,508,892.25/152,002.50
6. Step 6: Final answer
   x = 755,852.76