Finding the Third Proportional to 105,867 and 164,103

Step by Step Solution

1. Step 1: Write the proportion equation
   105,867 : 164,103 = 164,103 : x
2. Step 2: Convert to fraction form
   105,867/164,103 = 164,103/x
3. Step 3: Cross multiply
   105,867x = 164,103 × 164,103
4. Step 4: Simplify right side
   105,867x = 26,929,794,609
5. Step 5: Solve for x
   x = 26,929,794,609/105,867
6. Step 6: Final answer
   x = 254,373.83