Finding the Third Proportional to 86,290 and 188,596

Step by Step Solution

1. Step 1: Write the proportion equation
   86,290 : 188,596 = 188,596 : x
2. Step 2: Convert to fraction form
   86,290/188,596 = 188,596/x
3. Step 3: Cross multiply
   86,290x = 188,596 × 188,596
4. Step 4: Simplify right side
   86,290x = 35,568,451,216
5. Step 5: Solve for x
   x = 35,568,451,216/86,290
6. Step 6: Final answer
   x = 412,196.68