Finding the Third Proportional to 105,120 and 158,768

Step by Step Solution

1. Step 1: Write the proportion equation
   105,120 : 158,768 = 158,768 : x
2. Step 2: Convert to fraction form
   105,120/158,768 = 158,768/x
3. Step 3: Cross multiply
   105,120x = 158,768 × 158,768
4. Step 4: Simplify right side
   105,120x = 25,207,277,824
5. Step 5: Solve for x
   x = 25,207,277,824/105,120
6. Step 6: Final answer
   x = 239,795.26