Finding the Third Proportional to 105,005 and 168,441

Step by Step Solution

1. Step 1: Write the proportion equation
   105,005 : 168,441 = 168,441 : x
2. Step 2: Convert to fraction form
   105,005/168,441 = 168,441/x
3. Step 3: Cross multiply
   105,005x = 168,441 × 168,441
4. Step 4: Simplify right side
   105,005x = 28,372,370,481
5. Step 5: Solve for x
   x = 28,372,370,481/105,005
6. Step 6: Final answer
   x = 270,200.19