Finding the Third Proportional to 105,936 and 168,624

Step by Step Solution

1. Step 1: Write the proportion equation
   105,936 : 168,624 = 168,624 : x
2. Step 2: Convert to fraction form
   105,936/168,624 = 168,624/x
3. Step 3: Cross multiply
   105,936x = 168,624 × 168,624
4. Step 4: Simplify right side
   105,936x = 28,434,053,376
5. Step 5: Solve for x
   x = 28,434,053,376/105,936
6. Step 6: Final answer
   x = 268,407.84