Finding the Third Proportional to 498,543 and 747,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498,543 : 747,626.50 = 747,626.50 : x
2. Step 2: Convert to fraction form
   498,543/747,626.50 = 747,626.50/x
3. Step 3: Cross multiply
   498,543x = 747,626.50 × 747,626.50
4. Step 4: Simplify right side
   498,543x = 558,945,383,502.25
5. Step 5: Solve for x
   x = 558,945,383,502.25/498,543
6. Step 6: Final answer
   x = 1,121,157.82