Finding the Third Proportional to 381,670 and 518,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,670 : 518,344.50 = 518,344.50 : x
2. Step 2: Convert to fraction form
   381,670/518,344.50 = 518,344.50/x
3. Step 3: Cross multiply
   381,670x = 518,344.50 × 518,344.50
4. Step 4: Simplify right side
   381,670x = 268,681,020,680.25
5. Step 5: Solve for x
   x = 268,681,020,680.25/381,670
6. Step 6: Final answer
   x = 703,961.59