Finding the Third Proportional to 105,872 and 164,111

Step by Step Solution

1. Step 1: Write the proportion equation
   105,872 : 164,111 = 164,111 : x
2. Step 2: Convert to fraction form
   105,872/164,111 = 164,111/x
3. Step 3: Cross multiply
   105,872x = 164,111 × 164,111
4. Step 4: Simplify right side
   105,872x = 26,932,420,321
5. Step 5: Solve for x
   x = 26,932,420,321/105,872
6. Step 6: Final answer
   x = 254,386.62