Finding the Third Proportional to 79,568 and 175,694

Step by Step Solution

1. Step 1: Write the proportion equation
   79,568 : 175,694 = 175,694 : x
2. Step 2: Convert to fraction form
   79,568/175,694 = 175,694/x
3. Step 3: Cross multiply
   79,568x = 175,694 × 175,694
4. Step 4: Simplify right side
   79,568x = 30,868,381,636
5. Step 5: Solve for x
   x = 30,868,381,636/79,568
6. Step 6: Final answer
   x = 387,949.70