Finding the Third Proportional to 105,843 and 164,067

Step by Step Solution

1. Step 1: Write the proportion equation
   105,843 : 164,067 = 164,067 : x
2. Step 2: Convert to fraction form
   105,843/164,067 = 164,067/x
3. Step 3: Cross multiply
   105,843x = 164,067 × 164,067
4. Step 4: Simplify right side
   105,843x = 26,917,980,489
5. Step 5: Solve for x
   x = 26,917,980,489/105,843
6. Step 6: Final answer
   x = 254,319.89