Finding the Third Proportional to 498,048 and 772,464

Step by Step Solution

1. Step 1: Write the proportion equation
   498,048 : 772,464 = 772,464 : x
2. Step 2: Convert to fraction form
   498,048/772,464 = 772,464/x
3. Step 3: Cross multiply
   498,048x = 772,464 × 772,464
4. Step 4: Simplify right side
   498,048x = 596,700,631,296
5. Step 5: Solve for x
   x = 596,700,631,296/498,048
6. Step 6: Final answer
   x = 1,198,078.56