Finding the Third Proportional to 105,886 and 164,132

Step by Step Solution

1. Step 1: Write the proportion equation
   105,886 : 164,132 = 164,132 : x
2. Step 2: Convert to fraction form
   105,886/164,132 = 164,132/x
3. Step 3: Cross multiply
   105,886x = 164,132 × 164,132
4. Step 4: Simplify right side
   105,886x = 26,939,313,424
5. Step 5: Solve for x
   x = 26,939,313,424/105,886
6. Step 6: Final answer
   x = 254,418.09