Finding the Third Proportional to 77.06 and 167.34

Step by Step Solution

1. Step 1: Write the proportion equation
   77.06 : 167.34 = 167.34 : x
2. Step 2: Convert to fraction form
   77.06/167.34 = 167.34/x
3. Step 3: Cross multiply
   77.06x = 167.34 × 167.34
4. Step 4: Simplify right side
   77.06x = 28,003.93
5. Step 5: Solve for x
   x = 28,003.93/77.06
6. Step 6: Final answer
   x = 363.39