Finding the Third Proportional to 105,950 and 165,182

Step by Step Solution

1. Step 1: Write the proportion equation
   105,950 : 165,182 = 165,182 : x
2. Step 2: Convert to fraction form
   105,950/165,182 = 165,182/x
3. Step 3: Cross multiply
   105,950x = 165,182 × 165,182
4. Step 4: Simplify right side
   105,950x = 27,285,093,124
5. Step 5: Solve for x
   x = 27,285,093,124/105,950
6. Step 6: Final answer
   x = 257,528.01