Finding the Third Proportional to 105,138 and 158,796

Step by Step Solution

1. Step 1: Write the proportion equation
   105,138 : 158,796 = 158,796 : x
2. Step 2: Convert to fraction form
   105,138/158,796 = 158,796/x
3. Step 3: Cross multiply
   105,138x = 158,796 × 158,796
4. Step 4: Simplify right side
   105,138x = 25,216,169,616
5. Step 5: Solve for x
   x = 25,216,169,616/105,138
6. Step 6: Final answer
   x = 239,838.78