Finding the Third Proportional to 105,856 and 164,616

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856 : 164,616 = 164,616 : x
2. Step 2: Convert to fraction form
   105,856/164,616 = 164,616/x
3. Step 3: Cross multiply
   105,856x = 164,616 × 164,616
4. Step 4: Simplify right side
   105,856x = 27,098,427,456
5. Step 5: Solve for x
   x = 27,098,427,456/105,856
6. Step 6: Final answer
   x = 255,993.31