Finding the Third Proportional to 105,458 and 162,843

Step by Step Solution

1. Step 1: Write the proportion equation
   105,458 : 162,843 = 162,843 : x
2. Step 2: Convert to fraction form
   105,458/162,843 = 162,843/x
3. Step 3: Cross multiply
   105,458x = 162,843 × 162,843
4. Step 4: Simplify right side
   105,458x = 26,517,842,649
5. Step 5: Solve for x
   x = 26,517,842,649/105,458
6. Step 6: Final answer
   x = 251,454.06