Finding the Third Proportional to 76.72 and 167.41

Step by Step Solution

1. Step 1: Write the proportion equation
   76.72 : 167.41 = 167.41 : x
2. Step 2: Convert to fraction form
   76.72/167.41 = 167.41/x
3. Step 3: Cross multiply
   76.72x = 167.41 × 167.41
4. Step 4: Simplify right side
   76.72x = 28,024.85
5. Step 5: Solve for x
   x = 28,024.85/76.72
6. Step 6: Final answer
   x = 365.29