Finding the Third Proportional to 104,404 and 223,568

Step by Step Solution

1. Step 1: Write the proportion equation
   104,404 : 223,568 = 223,568 : x
2. Step 2: Convert to fraction form
   104,404/223,568 = 223,568/x
3. Step 3: Cross multiply
   104,404x = 223,568 × 223,568
4. Step 4: Simplify right side
   104,404x = 49,982,650,624
5. Step 5: Solve for x
   x = 49,982,650,624/104,404
6. Step 6: Final answer
   x = 478,742.68