Finding the Third Proportional to 105,414 and 168,600

Step by Step Solution

1. Step 1: Write the proportion equation
   105,414 : 168,600 = 168,600 : x
2. Step 2: Convert to fraction form
   105,414/168,600 = 168,600/x
3. Step 3: Cross multiply
   105,414x = 168,600 × 168,600
4. Step 4: Simplify right side
   105,414x = 28,425,960,000
5. Step 5: Solve for x
   x = 28,425,960,000/105,414
6. Step 6: Final answer
   x = 269,660.20