Finding the Third Proportional to 105,498 and 165,843

Step by Step Solution

1. Step 1: Write the proportion equation
   105,498 : 165,843 = 165,843 : x
2. Step 2: Convert to fraction form
   105,498/165,843 = 165,843/x
3. Step 3: Cross multiply
   105,498x = 165,843 × 165,843
4. Step 4: Simplify right side
   105,498x = 27,503,900,649
5. Step 5: Solve for x
   x = 27,503,900,649/105,498
6. Step 6: Final answer
   x = 260,705.42