Finding the Third Proportional to 78.94 and 167.81

Step by Step Solution

1. Step 1: Write the proportion equation
   78.94 : 167.81 = 167.81 : x
2. Step 2: Convert to fraction form
   78.94/167.81 = 167.81/x
3. Step 3: Cross multiply
   78.94x = 167.81 × 167.81
4. Step 4: Simplify right side
   78.94x = 28,161.04
5. Step 5: Solve for x
   x = 28,161.04/78.94
6. Step 6: Final answer
   x = 356.75