Finding the Third Proportional to 89.72 and 119.53

Step by Step Solution

1. Step 1: Write the proportion equation
   89.72 : 119.53 = 119.53 : x
2. Step 2: Convert to fraction form
   89.72/119.53 = 119.53/x
3. Step 3: Cross multiply
   89.72x = 119.53 × 119.53
4. Step 4: Simplify right side
   89.72x = 14,287.72
5. Step 5: Solve for x
   x = 14,287.72/89.72
6. Step 6: Final answer
   x = 159.25