Finding the Third Proportional to 114.19 and 172.27

Step by Step Solution

1. Step 1: Write the proportion equation
   114.19 : 172.27 = 172.27 : x
2. Step 2: Convert to fraction form
   114.19/172.27 = 172.27/x
3. Step 3: Cross multiply
   114.19x = 172.27 × 172.27
4. Step 4: Simplify right side
   114.19x = 29,675.45
5. Step 5: Solve for x
   x = 29,675.45/114.19
6. Step 6: Final answer
   x = 259.88