Finding the Third Proportional to 101,944 and 223,568

Step by Step Solution

1. Step 1: Write the proportion equation
   101,944 : 223,568 = 223,568 : x
2. Step 2: Convert to fraction form
   101,944/223,568 = 223,568/x
3. Step 3: Cross multiply
   101,944x = 223,568 × 223,568
4. Step 4: Simplify right side
   101,944x = 49,982,650,624
5. Step 5: Solve for x
   x = 49,982,650,624/101,944
6. Step 6: Final answer
   x = 490,295.17