Finding the Third Proportional to 76.69 and 162.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76.69 : 162.38 = 162.38 : x
2. Step 2: Convert to fraction form
   76.69/162.38 = 162.38/x
3. Step 3: Cross multiply
   76.69x = 162.38 × 162.38
4. Step 4: Simplify right side
   76.69x = 26,365.64
5. Step 5: Solve for x
   x = 26,365.64/76.69
6. Step 6: Final answer
   x = 343.81