Finding the Third Proportional to 105,468 and 165,744

Step by Step Solution

1. Step 1: Write the proportion equation
   105,468 : 165,744 = 165,744 : x
2. Step 2: Convert to fraction form
   105,468/165,744 = 165,744/x
3. Step 3: Cross multiply
   105,468x = 165,744 × 165,744
4. Step 4: Simplify right side
   105,468x = 27,471,073,536
5. Step 5: Solve for x
   x = 27,471,073,536/105,468
6. Step 6: Final answer
   x = 260,468.33