Finding the Third Proportional to 498,459 and 783,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   498,459 : 783,400.50 = 783,400.50 : x
2. Step 2: Convert to fraction form
   498,459/783,400.50 = 783,400.50/x
3. Step 3: Cross multiply
   498,459x = 783,400.50 × 783,400.50
4. Step 4: Simplify right side
   498,459x = 613,716,343,400.25
5. Step 5: Solve for x
   x = 613,716,343,400.25/498,459
6. Step 6: Final answer
   x = 1,231,227.33