Finding the Third Proportional to 105,868 and 164,105

Step by Step Solution

1. Step 1: Write the proportion equation
   105,868 : 164,105 = 164,105 : x
2. Step 2: Convert to fraction form
   105,868/164,105 = 164,105/x
3. Step 3: Cross multiply
   105,868x = 164,105 × 164,105
4. Step 4: Simplify right side
   105,868x = 26,930,451,025
5. Step 5: Solve for x
   x = 26,930,451,025/105,868
6. Step 6: Final answer
   x = 254,377.63