Finding the Third Proportional to 105,111 and 161,568

Step by Step Solution

1. Step 1: Write the proportion equation
   105,111 : 161,568 = 161,568 : x
2. Step 2: Convert to fraction form
   105,111/161,568 = 161,568/x
3. Step 3: Cross multiply
   105,111x = 161,568 × 161,568
4. Step 4: Simplify right side
   105,111x = 26,104,218,624
5. Step 5: Solve for x
   x = 26,104,218,624/105,111
6. Step 6: Final answer
   x = 248,349.07