Finding the Third Proportional to 90.57 and 136.28

Step by Step Solution

1. Step 1: Write the proportion equation
   90.57 : 136.28 = 136.28 : x
2. Step 2: Convert to fraction form
   90.57/136.28 = 136.28/x
3. Step 3: Cross multiply
   90.57x = 136.28 × 136.28
4. Step 4: Simplify right side
   90.57x = 18,571.51
5. Step 5: Solve for x
   x = 18,571.51/90.57
6. Step 6: Final answer
   x = 205.04