Finding the Third Proportional to 86,508 and 188,568

Step by Step Solution

1. Step 1: Write the proportion equation
   86,508 : 188,568 = 188,568 : x
2. Step 2: Convert to fraction form
   86,508/188,568 = 188,568/x
3. Step 3: Cross multiply
   86,508x = 188,568 × 188,568
4. Step 4: Simplify right side
   86,508x = 35,557,890,624
5. Step 5: Solve for x
   x = 35,557,890,624/86,508
6. Step 6: Final answer
   x = 411,035.87