Finding the Third Proportional to 76.94 and 167.31

Step by Step Solution

1. Step 1: Write the proportion equation
   76.94 : 167.31 = 167.31 : x
2. Step 2: Convert to fraction form
   76.94/167.31 = 167.31/x
3. Step 3: Cross multiply
   76.94x = 167.31 × 167.31
4. Step 4: Simplify right side
   76.94x = 27,993.47
5. Step 5: Solve for x
   x = 27,993.47/76.94
6. Step 6: Final answer
   x = 363.85