Finding the Third Proportional to 142,780 and 200,562

Step by Step Solution

1. Step 1: Write the proportion equation
   142,780 : 200,562 = 200,562 : x
2. Step 2: Convert to fraction form
   142,780/200,562 = 200,562/x
3. Step 3: Cross multiply
   142,780x = 200,562 × 200,562
4. Step 4: Simplify right side
   142,780x = 40,225,115,844
5. Step 5: Solve for x
   x = 40,225,115,844/142,780
6. Step 6: Final answer
   x = 281,727.94