Finding the Third Proportional to 381,682 and 518,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,682 : 518,362.50 = 518,362.50 : x
2. Step 2: Convert to fraction form
   381,682/518,362.50 = 518,362.50/x
3. Step 3: Cross multiply
   381,682x = 518,362.50 × 518,362.50
4. Step 4: Simplify right side
   381,682x = 268,699,681,406.25
5. Step 5: Solve for x
   x = 268,699,681,406.25/381,682
6. Step 6: Final answer
   x = 703,988.35