Finding the Third Proportional to 77.50 and 168.38

Step by Step Solution

1. Step 1: Write the proportion equation
   77.50 : 168.38 = 168.38 : x
2. Step 2: Convert to fraction form
   77.50/168.38 = 168.38/x
3. Step 3: Cross multiply
   77.50x = 168.38 × 168.38
4. Step 4: Simplify right side
   77.50x = 28,350.14
5. Step 5: Solve for x
   x = 28,350.14/77.50
6. Step 6: Final answer
   x = 365.81