Finding the Third Proportional to 89.02 and 119.76

Step by Step Solution

1. Step 1: Write the proportion equation
   89.02 : 119.76 = 119.76 : x
2. Step 2: Convert to fraction form
   89.02/119.76 = 119.76/x
3. Step 3: Cross multiply
   89.02x = 119.76 × 119.76
4. Step 4: Simplify right side
   89.02x = 14,342.40
5. Step 5: Solve for x
   x = 14,342.40/89.02
6. Step 6: Final answer
   x = 161.12