Finding the Third Proportional to 105,098 and 158,738

Step by Step Solution

1. Step 1: Write the proportion equation
   105,098 : 158,738 = 158,738 : x
2. Step 2: Convert to fraction form
   105,098/158,738 = 158,738/x
3. Step 3: Cross multiply
   105,098x = 158,738 × 158,738
4. Step 4: Simplify right side
   105,098x = 25,197,752,644
5. Step 5: Solve for x
   x = 25,197,752,644/105,098
6. Step 6: Final answer
   x = 239,754.83