Finding the Third Proportional to 105,120 and 233,568

Step by Step Solution

1. Step 1: Write the proportion equation
   105,120 : 233,568 = 233,568 : x
2. Step 2: Convert to fraction form
   105,120/233,568 = 233,568/x
3. Step 3: Cross multiply
   105,120x = 233,568 × 233,568
4. Step 4: Simplify right side
   105,120x = 54,554,010,624
5. Step 5: Solve for x
   x = 54,554,010,624/105,120
6. Step 6: Final answer
   x = 518,968.90