Finding the Third Proportional to 498,861 and 760,746.75

Step by Step Solution

1. Step 1: Write the proportion equation
   498,861 : 760,746.75 = 760,746.75 : x
2. Step 2: Convert to fraction form
   498,861/760,746.75 = 760,746.75/x
3. Step 3: Cross multiply
   498,861x = 760,746.75 × 760,746.75
4. Step 4: Simplify right side
   498,861x = 578,735,617,635.56
5. Step 5: Solve for x
   x = 578,735,617,635.56/498,861
6. Step 6: Final answer
   x = 1,160,113.97