Finding the Third Proportional to 141.75 and 286.69

Step by Step Solution

1. Step 1: Write the proportion equation
   141.75 : 286.69 = 286.69 : x
2. Step 2: Convert to fraction form
   141.75/286.69 = 286.69/x
3. Step 3: Cross multiply
   141.75x = 286.69 × 286.69
4. Step 4: Simplify right side
   141.75x = 82,189.72
5. Step 5: Solve for x
   x = 82,189.72/141.75
6. Step 6: Final answer
   x = 579.82