Finding the Third Proportional to 509,947.50 and 750,078

Step by Step Solution

1. Step 1: Write the proportion equation
   509,947.50 : 750,078 = 750,078 : x
2. Step 2: Convert to fraction form
   509,947.50/750,078 = 750,078/x
3. Step 3: Cross multiply
   509,947.50x = 750,078 × 750,078
4. Step 4: Simplify right side
   509,947.50x = 562,617,006,084
5. Step 5: Solve for x
   x = 562,617,006,084/509,947.50
6. Step 6: Final answer
   x = 1,103,284.17