Finding the Third Proportional to 55,649 and 123,739

Step by Step Solution

1. Step 1: Write the proportion equation
   55,649 : 123,739 = 123,739 : x
2. Step 2: Convert to fraction form
   55,649/123,739 = 123,739/x
3. Step 3: Cross multiply
   55,649x = 123,739 × 123,739
4. Step 4: Simplify right side
   55,649x = 15,311,340,121
5. Step 5: Solve for x
   x = 15,311,340,121/55,649
6. Step 6: Final answer
   x = 275,141.33