Finding the Third Proportional to 55,657 and 123,754

Step by Step Solution

1. Step 1: Write the proportion equation
   55,657 : 123,754 = 123,754 : x
2. Step 2: Convert to fraction form
   55,657/123,754 = 123,754/x
3. Step 3: Cross multiply
   55,657x = 123,754 × 123,754
4. Step 4: Simplify right side
   55,657x = 15,315,052,516
5. Step 5: Solve for x
   x = 15,315,052,516/55,657
6. Step 6: Final answer
   x = 275,168.49