Finding the Third Proportional to 105,826 and 170,147

Step by Step Solution

1. Step 1: Write the proportion equation
   105,826 : 170,147 = 170,147 : x
2. Step 2: Convert to fraction form
   105,826/170,147 = 170,147/x
3. Step 3: Cross multiply
   105,826x = 170,147 × 170,147
4. Step 4: Simplify right side
   105,826x = 28,950,001,609
5. Step 5: Solve for x
   x = 28,950,001,609/105,826
6. Step 6: Final answer
   x = 273,562.28