Finding the Third Proportional to 78.05 and 168.12

Step by Step Solution

1. Step 1: Write the proportion equation
   78.05 : 168.12 = 168.12 : x
2. Step 2: Convert to fraction form
   78.05/168.12 = 168.12/x
3. Step 3: Cross multiply
   78.05x = 168.12 × 168.12
4. Step 4: Simplify right side
   78.05x = 28,263.39
5. Step 5: Solve for x
   x = 28,263.39/78.05
6. Step 6: Final answer
   x = 362.13