Finding the Third Proportional to 105,890 and 164,026

Step by Step Solution

1. Step 1: Write the proportion equation
   105,890 : 164,026 = 164,026 : x
2. Step 2: Convert to fraction form
   105,890/164,026 = 164,026/x
3. Step 3: Cross multiply
   105,890x = 164,026 × 164,026
4. Step 4: Simplify right side
   105,890x = 26,904,528,676
5. Step 5: Solve for x
   x = 26,904,528,676/105,890
6. Step 6: Final answer
   x = 254,079.98