Finding the Third Proportional to 85.64 and 136.27

Step by Step Solution

1. Step 1: Write the proportion equation
   85.64 : 136.27 = 136.27 : x
2. Step 2: Convert to fraction form
   85.64/136.27 = 136.27/x
3. Step 3: Cross multiply
   85.64x = 136.27 × 136.27
4. Step 4: Simplify right side
   85.64x = 18,568.32
5. Step 5: Solve for x
   x = 18,568.32/85.64
6. Step 6: Final answer
   x = 216.82