Finding the Third Proportional to 105,892 and 164,027

Step by Step Solution

1. Step 1: Write the proportion equation
   105,892 : 164,027 = 164,027 : x
2. Step 2: Convert to fraction form
   105,892/164,027 = 164,027/x
3. Step 3: Cross multiply
   105,892x = 164,027 × 164,027
4. Step 4: Simplify right side
   105,892x = 26,904,856,729
5. Step 5: Solve for x
   x = 26,904,856,729/105,892
6. Step 6: Final answer
   x = 254,078.28