Finding the Third Proportional to 101.20 and 136.27

Step by Step Solution

1. Step 1: Write the proportion equation
   101.20 : 136.27 = 136.27 : x
2. Step 2: Convert to fraction form
   101.20/136.27 = 136.27/x
3. Step 3: Cross multiply
   101.20x = 136.27 × 136.27
4. Step 4: Simplify right side
   101.20x = 18,568.32
5. Step 5: Solve for x
   x = 18,568.32/101.20
6. Step 6: Final answer
   x = 183.48