Finding the Third Proportional to 57,180 and 123,896

Step by Step Solution

1. Step 1: Write the proportion equation
   57,180 : 123,896 = 123,896 : x
2. Step 2: Convert to fraction form
   57,180/123,896 = 123,896/x
3. Step 3: Cross multiply
   57,180x = 123,896 × 123,896
4. Step 4: Simplify right side
   57,180x = 15,350,218,816
5. Step 5: Solve for x
   x = 15,350,218,816/57,180
6. Step 6: Final answer
   x = 268,454.33