Finding the Third Proportional to 85.22 and 114.05

Step by Step Solution

1. Step 1: Write the proportion equation
   85.22 : 114.05 = 114.05 : x
2. Step 2: Convert to fraction form
   85.22/114.05 = 114.05/x
3. Step 3: Cross multiply
   85.22x = 114.05 × 114.05
4. Step 4: Simplify right side
   85.22x = 13,006.69
5. Step 5: Solve for x
   x = 13,006.69/85.22
6. Step 6: Final answer
   x = 152.63