Finding the Third Proportional to 72.14 and 174.66

Step by Step Solution

1. Step 1: Write the proportion equation
   72.14 : 174.66 = 174.66 : x
2. Step 2: Convert to fraction form
   72.14/174.66 = 174.66/x
3. Step 3: Cross multiply
   72.14x = 174.66 × 174.66
4. Step 4: Simplify right side
   72.14x = 30,504.81
5. Step 5: Solve for x
   x = 30,504.81/72.14
6. Step 6: Final answer
   x = 422.85