Finding the Third Proportional to 89.77 and 136.41

Step by Step Solution

1. Step 1: Write the proportion equation
   89.77 : 136.41 = 136.41 : x
2. Step 2: Convert to fraction form
   89.77/136.41 = 136.41/x
3. Step 3: Cross multiply
   89.77x = 136.41 × 136.41
4. Step 4: Simplify right side
   89.77x = 18,606.67
5. Step 5: Solve for x
   x = 18,606.67/89.77
6. Step 6: Final answer
   x = 207.28