Finding the Third Proportional to 80.00 and 168.78

Step by Step Solution

1. Step 1: Write the proportion equation
   80.00 : 168.78 = 168.78 : x
2. Step 2: Convert to fraction form
   80.00/168.78 = 168.78/x
3. Step 3: Cross multiply
   80.00x = 168.78 × 168.78
4. Step 4: Simplify right side
   80.00x = 28,485.46
5. Step 5: Solve for x
   x = 28,485.46/80.00
6. Step 6: Final answer
   x = 356.08