Finding the Third Proportional to 123.56 and 267.38

Step by Step Solution

1. Step 1: Write the proportion equation
   123.56 : 267.38 = 267.38 : x
2. Step 2: Convert to fraction form
   123.56/267.38 = 267.38/x
3. Step 3: Cross multiply
   123.56x = 267.38 × 267.38
4. Step 4: Simplify right side
   123.56x = 71,489.39
5. Step 5: Solve for x
   x = 71,489.39/123.56
6. Step 6: Final answer
   x = 578.57