Finding the Third Proportional to 165.38 and 359.25

Step by Step Solution

1. Step 1: Write the proportion equation
   165.38 : 359.25 = 359.25 : x
2. Step 2: Convert to fraction form
   165.38/359.25 = 359.25/x
3. Step 3: Cross multiply
   165.38x = 359.25 × 359.25
4. Step 4: Simplify right side
   165.38x = 129,060.56
5. Step 5: Solve for x
   x = 129,060.56/165.38
6. Step 6: Final answer
   x = 780.41