Finding the Third Proportional to 498,969 and 763,422

Step by Step Solution

1. Step 1: Write the proportion equation
   498,969 : 763,422 = 763,422 : x
2. Step 2: Convert to fraction form
   498,969/763,422 = 763,422/x
3. Step 3: Cross multiply
   498,969x = 763,422 × 763,422
4. Step 4: Simplify right side
   498,969x = 582,813,150,084
5. Step 5: Solve for x
   x = 582,813,150,084/498,969
6. Step 6: Final answer
   x = 1,168,034.79