Finding the Third Proportional to 381,674 and 518,350.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,674 : 518,350.50 = 518,350.50 : x
2. Step 2: Convert to fraction form
   381,674/518,350.50 = 518,350.50/x
3. Step 3: Cross multiply
   381,674x = 518,350.50 × 518,350.50
4. Step 4: Simplify right side
   381,674x = 268,687,240,850.25
5. Step 5: Solve for x
   x = 268,687,240,850.25/381,674
6. Step 6: Final answer
   x = 703,970.51