Finding the Third Proportional to 126,670 and 200,568

Step by Step Solution

1. Step 1: Write the proportion equation
   126,670 : 200,568 = 200,568 : x
2. Step 2: Convert to fraction form
   126,670/200,568 = 200,568/x
3. Step 3: Cross multiply
   126,670x = 200,568 × 200,568
4. Step 4: Simplify right side
   126,670x = 40,227,522,624
5. Step 5: Solve for x
   x = 40,227,522,624/126,670
6. Step 6: Final answer
   x = 317,577.35