Finding the Third Proportional to 86,274 and 188,568

Step by Step Solution

1. Step 1: Write the proportion equation
   86,274 : 188,568 = 188,568 : x
2. Step 2: Convert to fraction form
   86,274/188,568 = 188,568/x
3. Step 3: Cross multiply
   86,274x = 188,568 × 188,568
4. Step 4: Simplify right side
   86,274x = 35,557,890,624
5. Step 5: Solve for x
   x = 35,557,890,624/86,274
6. Step 6: Final answer
   x = 412,150.71