Finding the Third Proportional to 105,968 and 224,568

Step by Step Solution

1. Step 1: Write the proportion equation
   105,968 : 224,568 = 224,568 : x
2. Step 2: Convert to fraction form
   105,968/224,568 = 224,568/x
3. Step 3: Cross multiply
   105,968x = 224,568 × 224,568
4. Step 4: Simplify right side
   105,968x = 50,430,786,624
5. Step 5: Solve for x
   x = 50,430,786,624/105,968
6. Step 6: Final answer
   x = 475,905.81