Finding the Third Proportional to 76.78 and 165.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76.78 : 165.38 = 165.38 : x
2. Step 2: Convert to fraction form
   76.78/165.38 = 165.38/x
3. Step 3: Cross multiply
   76.78x = 165.38 × 165.38
4. Step 4: Simplify right side
   76.78x = 27,348.89
5. Step 5: Solve for x
   x = 27,348.89/76.78
6. Step 6: Final answer
   x = 356.19