Finding the Third Proportional to 78.06 and 168.13

Step by Step Solution

1. Step 1: Write the proportion equation
   78.06 : 168.13 = 168.13 : x
2. Step 2: Convert to fraction form
   78.06/168.13 = 168.13/x
3. Step 3: Cross multiply
   78.06x = 168.13 × 168.13
4. Step 4: Simplify right side
   78.06x = 28,266.02
5. Step 5: Solve for x
   x = 28,266.02/78.06
6. Step 6: Final answer
   x = 362.09