Finding the Third Proportional to 105,856 and 168,504

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856 : 168,504 = 168,504 : x
2. Step 2: Convert to fraction form
   105,856/168,504 = 168,504/x
3. Step 3: Cross multiply
   105,856x = 168,504 × 168,504
4. Step 4: Simplify right side
   105,856x = 28,393,598,016
5. Step 5: Solve for x
   x = 28,393,598,016/105,856
6. Step 6: Final answer
   x = 268,228.52