Finding the Third Proportional to 105,568 and 154,896

Step by Step Solution

1. Step 1: Write the proportion equation
   105,568 : 154,896 = 154,896 : x
2. Step 2: Convert to fraction form
   105,568/154,896 = 154,896/x
3. Step 3: Cross multiply
   105,568x = 154,896 × 154,896
4. Step 4: Simplify right side
   105,568x = 23,992,770,816
5. Step 5: Solve for x
   x = 23,992,770,816/105,568
6. Step 6: Final answer
   x = 227,273.14