Finding the Third Proportional to 57,677 and 123,980

Step by Step Solution

1. Step 1: Write the proportion equation
   57,677 : 123,980 = 123,980 : x
2. Step 2: Convert to fraction form
   57,677/123,980 = 123,980/x
3. Step 3: Cross multiply
   57,677x = 123,980 × 123,980
4. Step 4: Simplify right side
   57,677x = 15,371,040,400
5. Step 5: Solve for x
   x = 15,371,040,400/57,677
6. Step 6: Final answer
   x = 266,502.08