Finding the Third Proportional to 85.43 and 114.04

Step by Step Solution

1. Step 1: Write the proportion equation
   85.43 : 114.04 = 114.04 : x
2. Step 2: Convert to fraction form
   85.43/114.04 = 114.04/x
3. Step 3: Cross multiply
   85.43x = 114.04 × 114.04
4. Step 4: Simplify right side
   85.43x = 13,004.02
5. Step 5: Solve for x
   x = 13,004.02/85.43
6. Step 6: Final answer
   x = 152.22