Finding the Third Proportional to 152,591 and 331,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,591 : 331,451.50 = 331,451.50 : x
2. Step 2: Convert to fraction form
   152,591/331,451.50 = 331,451.50/x
3. Step 3: Cross multiply
   152,591x = 331,451.50 × 331,451.50
4. Step 4: Simplify right side
   152,591x = 109,860,096,852.25
5. Step 5: Solve for x
   x = 109,860,096,852.25/152,591
6. Step 6: Final answer
   x = 719,964.46