Finding the Third Proportional to 86,626 and 188,048

Step by Step Solution

1. Step 1: Write the proportion equation
   86,626 : 188,048 = 188,048 : x
2. Step 2: Convert to fraction form
   86,626/188,048 = 188,048/x
3. Step 3: Cross multiply
   86,626x = 188,048 × 188,048
4. Step 4: Simplify right side
   86,626x = 35,362,050,304
5. Step 5: Solve for x
   x = 35,362,050,304/86,626
6. Step 6: Final answer
   x = 408,215.20