Finding the Third Proportional to 267.56 and 426.56

Step by Step Solution

1. Step 1: Write the proportion equation
   267.56 : 426.56 = 426.56 : x
2. Step 2: Convert to fraction form
   267.56/426.56 = 426.56/x
3. Step 3: Cross multiply
   267.56x = 426.56 × 426.56
4. Step 4: Simplify right side
   267.56x = 181,955.57
5. Step 5: Solve for x
   x = 181,955.57/267.56
6. Step 6: Final answer
   x = 680.05