Finding the Third Proportional to 85.22 and 114.22

Step by Step Solution

1. Step 1: Write the proportion equation
   85.22 : 114.22 = 114.22 : x
2. Step 2: Convert to fraction form
   85.22/114.22 = 114.22/x
3. Step 3: Cross multiply
   85.22x = 114.22 × 114.22
4. Step 4: Simplify right side
   85.22x = 13,046.82
5. Step 5: Solve for x
   x = 13,046.82/85.22
6. Step 6: Final answer
   x = 153.10