Finding the Third Proportional to 123.61 and 267.05

Step by Step Solution

1. Step 1: Write the proportion equation
   123.61 : 267.05 = 267.05 : x
2. Step 2: Convert to fraction form
   123.61/267.05 = 267.05/x
3. Step 3: Cross multiply
   123.61x = 267.05 × 267.05
4. Step 4: Simplify right side
   123.61x = 71,314.03
5. Step 5: Solve for x
   x = 71,314.03/123.61
6. Step 6: Final answer
   x = 576.93