Finding the Third Proportional to 142,785 and 200,569

Step by Step Solution

1. Step 1: Write the proportion equation
   142,785 : 200,569 = 200,569 : x
2. Step 2: Convert to fraction form
   142,785/200,569 = 200,569/x
3. Step 3: Cross multiply
   142,785x = 200,569 × 200,569
4. Step 4: Simplify right side
   142,785x = 40,227,923,761
5. Step 5: Solve for x
   x = 40,227,923,761/142,785
6. Step 6: Final answer
   x = 281,737.74