Finding the Third Proportional to 86,404 and 188,816

Step by Step Solution

1. Step 1: Write the proportion equation
   86,404 : 188,816 = 188,816 : x
2. Step 2: Convert to fraction form
   86,404/188,816 = 188,816/x
3. Step 3: Cross multiply
   86,404x = 188,816 × 188,816
4. Step 4: Simplify right side
   86,404x = 35,651,481,856
5. Step 5: Solve for x
   x = 35,651,481,856/86,404
6. Step 6: Final answer
   x = 412,613.79