Finding the Third Proportional to 165.69 and 337.38

Step by Step Solution

1. Step 1: Write the proportion equation
   165.69 : 337.38 = 337.38 : x
2. Step 2: Convert to fraction form
   165.69/337.38 = 337.38/x
3. Step 3: Cross multiply
   165.69x = 337.38 × 337.38
4. Step 4: Simplify right side
   165.69x = 113,821.89
5. Step 5: Solve for x
   x = 113,821.89/165.69
6. Step 6: Final answer
   x = 686.97