Finding the Third Proportional to 142,792 and 200,579

Step by Step Solution

1. Step 1: Write the proportion equation
   142,792 : 200,579 = 200,579 : x
2. Step 2: Convert to fraction form
   142,792/200,579 = 200,579/x
3. Step 3: Cross multiply
   142,792x = 200,579 × 200,579
4. Step 4: Simplify right side
   142,792x = 40,231,935,241
5. Step 5: Solve for x
   x = 40,231,935,241/142,792
6. Step 6: Final answer
   x = 281,752.03