Finding the Third Proportional to 105,568 and 224,090

Step by Step Solution

1. Step 1: Write the proportion equation
   105,568 : 224,090 = 224,090 : x
2. Step 2: Convert to fraction form
   105,568/224,090 = 224,090/x
3. Step 3: Cross multiply
   105,568x = 224,090 × 224,090
4. Step 4: Simplify right side
   105,568x = 50,216,328,100
5. Step 5: Solve for x
   x = 50,216,328,100/105,568
6. Step 6: Final answer
   x = 475,677.55