Finding the Third Proportional to 172.81 and 267.56

Step by Step Solution

1. Step 1: Write the proportion equation
   172.81 : 267.56 = 267.56 : x
2. Step 2: Convert to fraction form
   172.81/267.56 = 267.56/x
3. Step 3: Cross multiply
   172.81x = 267.56 × 267.56
4. Step 4: Simplify right side
   172.81x = 71,589.69
5. Step 5: Solve for x
   x = 71,589.69/172.81
6. Step 6: Final answer
   x = 414.26