Finding the Third Proportional to 105,102 and 158,744

Step by Step Solution

1. Step 1: Write the proportion equation
   105,102 : 158,744 = 158,744 : x
2. Step 2: Convert to fraction form
   105,102/158,744 = 158,744/x
3. Step 3: Cross multiply
   105,102x = 158,744 × 158,744
4. Step 4: Simplify right side
   105,102x = 25,199,657,536
5. Step 5: Solve for x
   x = 25,199,657,536/105,102
6. Step 6: Final answer
   x = 239,763.83