Finding the Third Proportional to 57,686 and 123,676

Step by Step Solution

1. Step 1: Write the proportion equation
   57,686 : 123,676 = 123,676 : x
2. Step 2: Convert to fraction form
   57,686/123,676 = 123,676/x
3. Step 3: Cross multiply
   57,686x = 123,676 × 123,676
4. Step 4: Simplify right side
   57,686x = 15,295,752,976
5. Step 5: Solve for x
   x = 15,295,752,976/57,686
6. Step 6: Final answer
   x = 265,155.38