Finding the Third Proportional to 159.38 and 286.69

Step by Step Solution

1. Step 1: Write the proportion equation
   159.38 : 286.69 = 286.69 : x
2. Step 2: Convert to fraction form
   159.38/286.69 = 286.69/x
3. Step 3: Cross multiply
   159.38x = 286.69 × 286.69
4. Step 4: Simplify right side
   159.38x = 82,189.72
5. Step 5: Solve for x
   x = 82,189.72/159.38
6. Step 6: Final answer
   x = 515.70