Finding the Third Proportional to 55,677.38 and 123,775.59

Step by Step Solution

1. Step 1: Write the proportion equation
   55,677.38 : 123,775.59 = 123,775.59 : x
2. Step 2: Convert to fraction form
   55,677.38/123,775.59 = 123,775.59/x
3. Step 3: Cross multiply
   55,677.38x = 123,775.59 × 123,775.59
4. Step 4: Simplify right side
   55,677.38x = 15,320,397,608.17
5. Step 5: Solve for x
   x = 15,320,397,608.17/55,677.38
6. Step 6: Final answer
   x = 275,163.79