Finding the Third Proportional to 142,786 and 200,570

Step by Step Solution

1. Step 1: Write the proportion equation
   142,786 : 200,570 = 200,570 : x
2. Step 2: Convert to fraction form
   142,786/200,570 = 200,570/x
3. Step 3: Cross multiply
   142,786x = 200,570 × 200,570
4. Step 4: Simplify right side
   142,786x = 40,228,324,900
5. Step 5: Solve for x
   x = 40,228,324,900/142,786
6. Step 6: Final answer
   x = 281,738.58