Finding the Third Proportional to 79.69 and 119.72

Step by Step Solution

1. Step 1: Write the proportion equation
   79.69 : 119.72 = 119.72 : x
2. Step 2: Convert to fraction form
   79.69/119.72 = 119.72/x
3. Step 3: Cross multiply
   79.69x = 119.72 × 119.72
4. Step 4: Simplify right side
   79.69x = 14,332.58
5. Step 5: Solve for x
   x = 14,332.58/79.69
6. Step 6: Final answer
   x = 179.86