Finding the Third Proportional to 105,933 and 165,150

Step by Step Solution

1. Step 1: Write the proportion equation
   105,933 : 165,150 = 165,150 : x
2. Step 2: Convert to fraction form
   105,933/165,150 = 165,150/x
3. Step 3: Cross multiply
   105,933x = 165,150 × 165,150
4. Step 4: Simplify right side
   105,933x = 27,274,522,500
5. Step 5: Solve for x
   x = 27,274,522,500/105,933
6. Step 6: Final answer
   x = 257,469.56