Finding the Third Proportional to 78.38 and 162.28

Step by Step Solution

1. Step 1: Write the proportion equation
   78.38 : 162.28 = 162.28 : x
2. Step 2: Convert to fraction form
   78.38/162.28 = 162.28/x
3. Step 3: Cross multiply
   78.38x = 162.28 × 162.28
4. Step 4: Simplify right side
   78.38x = 26,335.20
5. Step 5: Solve for x
   x = 26,335.20/78.38
6. Step 6: Final answer
   x = 336.02