Finding the Third Proportional to 142 and 287.38

Step by Step Solution

1. Step 1: Write the proportion equation
   142 : 287.38 = 287.38 : x
2. Step 2: Convert to fraction form
   142/287.38 = 287.38/x
3. Step 3: Cross multiply
   142x = 287.38 × 287.38
4. Step 4: Simplify right side
   142x = 82,584.39
5. Step 5: Solve for x
   x = 82,584.39/142
6. Step 6: Final answer
   x = 581.58