Finding the Third Proportional to 105,838 and 158,743

Step by Step Solution

1. Step 1: Write the proportion equation
   105,838 : 158,743 = 158,743 : x
2. Step 2: Convert to fraction form
   105,838/158,743 = 158,743/x
3. Step 3: Cross multiply
   105,838x = 158,743 × 158,743
4. Step 4: Simplify right side
   105,838x = 25,199,340,049
5. Step 5: Solve for x
   x = 25,199,340,049/105,838
6. Step 6: Final answer
   x = 238,093.50