Finding the Third Proportional to 381,384 and 517,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,384 : 517,960.50 = 517,960.50 : x
2. Step 2: Convert to fraction form
   381,384/517,960.50 = 517,960.50/x
3. Step 3: Cross multiply
   381,384x = 517,960.50 × 517,960.50
4. Step 4: Simplify right side
   381,384x = 268,283,079,560.25
5. Step 5: Solve for x
   x = 268,283,079,560.25/381,384
6. Step 6: Final answer
   x = 703,446.08