Finding the Third Proportional to 165.38 and 388.69

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 388.69 = 388.69 : x
2. Step 2: Convert to fraction form
   165.38/388.69 = 388.69/x
3. Step 3: Cross multiply
   165.38x = 388.69 × 388.69
4. Step 4: Simplify right side
   165.38x = 151,077.97
5. Step 5: Solve for x
   x = 151,077.97/165.38
6. Step 6: Final answer
   x = 913.55