Finding the Third Proportional to 56,680 and 123,721

Step by Step Solution

1. Step 1: Write the proportion equation
   56,680 : 123,721 = 123,721 : x
2. Step 2: Convert to fraction form
   56,680/123,721 = 123,721/x
3. Step 3: Cross multiply
   56,680x = 123,721 × 123,721
4. Step 4: Simplify right side
   56,680x = 15,306,885,841
5. Step 5: Solve for x
   x = 15,306,885,841/56,680
6. Step 6: Final answer
   x = 270,057.97