Finding the Third Proportional to 105,552 and 165,240

Step by Step Solution

1. Step 1: Write the proportion equation
   105,552 : 165,240 = 165,240 : x
2. Step 2: Convert to fraction form
   105,552/165,240 = 165,240/x
3. Step 3: Cross multiply
   105,552x = 165,240 × 165,240
4. Step 4: Simplify right side
   105,552x = 27,304,257,600
5. Step 5: Solve for x
   x = 27,304,257,600/105,552
6. Step 6: Final answer
   x = 258,680.63