Finding the Third Proportional to 105,100 and 158,741

Step by Step Solution

1. Step 1: Write the proportion equation
   105,100 : 158,741 = 158,741 : x
2. Step 2: Convert to fraction form
   105,100/158,741 = 158,741/x
3. Step 3: Cross multiply
   105,100x = 158,741 × 158,741
4. Step 4: Simplify right side
   105,100x = 25,198,705,081
5. Step 5: Solve for x
   x = 25,198,705,081/105,100
6. Step 6: Final answer
   x = 239,759.33