Finding the Third Proportional to 123.89 and 267.61

Step by Step Solution

1. Step 1: Write the proportion equation
   123.89 : 267.61 = 267.61 : x
2. Step 2: Convert to fraction form
   123.89/267.61 = 267.61/x
3. Step 3: Cross multiply
   123.89x = 267.61 × 267.61
4. Step 4: Simplify right side
   123.89x = 71,614.78
5. Step 5: Solve for x
   x = 71,614.78/123.89
6. Step 6: Final answer
   x = 578.05