Finding the Third Proportional to 165.38 and 339.38

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 339.38 = 339.38 : x
2. Step 2: Convert to fraction form
   165.38/339.38 = 339.38/x
3. Step 3: Cross multiply
   165.38x = 339.38 × 339.38
4. Step 4: Simplify right side
   165.38x = 115,175.39
5. Step 5: Solve for x
   x = 115,175.39/165.38
6. Step 6: Final answer
   x = 696.45