Finding the Third Proportional to 55,651 and 123,743

Step by Step Solution

1. Step 1: Write the proportion equation
   55,651 : 123,743 = 123,743 : x
2. Step 2: Convert to fraction form
   55,651/123,743 = 123,743/x
3. Step 3: Cross multiply
   55,651x = 123,743 × 123,743
4. Step 4: Simplify right side
   55,651x = 15,312,330,049
5. Step 5: Solve for x
   x = 15,312,330,049/55,651
6. Step 6: Final answer
   x = 275,149.23