Finding the Third Proportional to 142.69 and 250.56

Step by Step Solution

1. Step 1: Write the proportion equation
   142.69 : 250.56 = 250.56 : x
2. Step 2: Convert to fraction form
   142.69/250.56 = 250.56/x
3. Step 3: Cross multiply
   142.69x = 250.56 × 250.56
4. Step 4: Simplify right side
   142.69x = 62,781.57
5. Step 5: Solve for x
   x = 62,781.57/142.69
6. Step 6: Final answer
   x = 439.99