Finding the Third Proportional to 108,292 and 165,510

Step by Step Solution

1. Step 1: Write the proportion equation
   108,292 : 165,510 = 165,510 : x
2. Step 2: Convert to fraction form
   108,292/165,510 = 165,510/x
3. Step 3: Cross multiply
   108,292x = 165,510 × 165,510
4. Step 4: Simplify right side
   108,292x = 27,393,560,100
5. Step 5: Solve for x
   x = 27,393,560,100/108,292
6. Step 6: Final answer
   x = 252,960.15