Finding the Third Proportional to 498,856 and 760,739

Step by Step Solution

1. Step 1: Write the proportion equation
   498,856 : 760,739 = 760,739 : x
2. Step 2: Convert to fraction form
   498,856/760,739 = 760,739/x
3. Step 3: Cross multiply
   498,856x = 760,739 × 760,739
4. Step 4: Simplify right side
   498,856x = 578,723,826,121
5. Step 5: Solve for x
   x = 578,723,826,121/498,856
6. Step 6: Final answer
   x = 1,160,101.97