Finding the Third Proportional to 280,494 and 383,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   280,494 : 383,215.50 = 383,215.50 : x
2. Step 2: Convert to fraction form
   280,494/383,215.50 = 383,215.50/x
3. Step 3: Cross multiply
   280,494x = 383,215.50 × 383,215.50
4. Step 4: Simplify right side
   280,494x = 146,854,119,440.25
5. Step 5: Solve for x
   x = 146,854,119,440.25/280,494
6. Step 6: Final answer
   x = 523,555.30