Finding the Third Proportional to 381,661.50 and 518,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,661.50 : 518,333.50 = 518,333.50 : x
2. Step 2: Convert to fraction form
   381,661.50/518,333.50 = 518,333.50/x
3. Step 3: Cross multiply
   381,661.50x = 518,333.50 × 518,333.50
4. Step 4: Simplify right side
   381,661.50x = 268,669,617,222.25
5. Step 5: Solve for x
   x = 268,669,617,222.25/381,661.50
6. Step 6: Final answer
   x = 703,947.39