Finding the Third Proportional to 142,783 and 200,566

Step by Step Solution

1. Step 1: Write the proportion equation
   142,783 : 200,566 = 200,566 : x
2. Step 2: Convert to fraction form
   142,783/200,566 = 200,566/x
3. Step 3: Cross multiply
   142,783x = 200,566 × 200,566
4. Step 4: Simplify right side
   142,783x = 40,226,720,356
5. Step 5: Solve for x
   x = 40,226,720,356/142,783
6. Step 6: Final answer
   x = 281,733.26