Finding the Third Proportional to 105,831 and 162,118

Step by Step Solution

1. Step 1: Write the proportion equation
   105,831 : 162,118 = 162,118 : x
2. Step 2: Convert to fraction form
   105,831/162,118 = 162,118/x
3. Step 3: Cross multiply
   105,831x = 162,118 × 162,118
4. Step 4: Simplify right side
   105,831x = 26,282,245,924
5. Step 5: Solve for x
   x = 26,282,245,924/105,831
6. Step 6: Final answer
   x = 248,341.66