Finding the Third Proportional to 498,774 and 773,891

Step by Step Solution

1. Step 1: Write the proportion equation
   498,774 : 773,891 = 773,891 : x
2. Step 2: Convert to fraction form
   498,774/773,891 = 773,891/x
3. Step 3: Cross multiply
   498,774x = 773,891 × 773,891
4. Step 4: Simplify right side
   498,774x = 598,907,279,881
5. Step 5: Solve for x
   x = 598,907,279,881/498,774
6. Step 6: Final answer
   x = 1,200,758.82