Finding the Third Proportional to 381,672.50 and 518,350

Step by Step Solution

1. Step 1: Write the proportion equation
   381,672.50 : 518,350 = 518,350 : x
2. Step 2: Convert to fraction form
   381,672.50/518,350 = 518,350/x
3. Step 3: Cross multiply
   381,672.50x = 518,350 × 518,350
4. Step 4: Simplify right side
   381,672.50x = 268,686,722,500
5. Step 5: Solve for x
   x = 268,686,722,500/381,672.50
6. Step 6: Final answer
   x = 703,971.92