Finding the Third Proportional to 79.73 and 174.02

Step by Step Solution

1. Step 1: Write the proportion equation
   79.73 : 174.02 = 174.02 : x
2. Step 2: Convert to fraction form
   79.73/174.02 = 174.02/x
3. Step 3: Cross multiply
   79.73x = 174.02 × 174.02
4. Step 4: Simplify right side
   79.73x = 30,284.16
5. Step 5: Solve for x
   x = 30,284.16/79.73
6. Step 6: Final answer
   x = 379.81