Finding the Third Proportional to 105,852 and 168,498

Step by Step Solution

1. Step 1: Write the proportion equation
   105,852 : 168,498 = 168,498 : x
2. Step 2: Convert to fraction form
   105,852/168,498 = 168,498/x
3. Step 3: Cross multiply
   105,852x = 168,498 × 168,498
4. Step 4: Simplify right side
   105,852x = 28,391,576,004
5. Step 5: Solve for x
   x = 28,391,576,004/105,852
6. Step 6: Final answer
   x = 268,219.55