Finding the Third Proportional to 105,831 and 164,043

Step by Step Solution

1. Step 1: Write the proportion equation
   105,831 : 164,043 = 164,043 : x
2. Step 2: Convert to fraction form
   105,831/164,043 = 164,043/x
3. Step 3: Cross multiply
   105,831x = 164,043 × 164,043
4. Step 4: Simplify right side
   105,831x = 26,910,105,849
5. Step 5: Solve for x
   x = 26,910,105,849/105,831
6. Step 6: Final answer
   x = 254,274.32