Finding the Third Proportional to 105,417 and 168,605

Step by Step Solution

1. Step 1: Write the proportion equation
   105,417 : 168,605 = 168,605 : x
2. Step 2: Convert to fraction form
   105,417/168,605 = 168,605/x
3. Step 3: Cross multiply
   105,417x = 168,605 × 168,605
4. Step 4: Simplify right side
   105,417x = 28,427,646,025
5. Step 5: Solve for x
   x = 28,427,646,025/105,417
6. Step 6: Final answer
   x = 269,668.52