Finding the Third Proportional to 381,663 and 518,335.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,663 : 518,335.50 = 518,335.50 : x
2. Step 2: Convert to fraction form
   381,663/518,335.50 = 518,335.50/x
3. Step 3: Cross multiply
   381,663x = 518,335.50 × 518,335.50
4. Step 4: Simplify right side
   381,663x = 268,671,690,560.25
5. Step 5: Solve for x
   x = 268,671,690,560.25/381,663
6. Step 6: Final answer
   x = 703,950.06