Finding the Third Proportional to 114.56 and 172.78

Step by Step Solution

1. Step 1: Write the proportion equation
   114.56 : 172.78 = 172.78 : x
2. Step 2: Convert to fraction form
   114.56/172.78 = 172.78/x
3. Step 3: Cross multiply
   114.56x = 172.78 × 172.78
4. Step 4: Simplify right side
   114.56x = 29,853.36
5. Step 5: Solve for x
   x = 29,853.36/114.56
6. Step 6: Final answer
   x = 260.59