Finding the Third Proportional to 86,105 and 188,824

Step by Step Solution

1. Step 1: Write the proportion equation
   86,105 : 188,824 = 188,824 : x
2. Step 2: Convert to fraction form
   86,105/188,824 = 188,824/x
3. Step 3: Cross multiply
   86,105x = 188,824 × 188,824
4. Step 4: Simplify right side
   86,105x = 35,654,502,976
5. Step 5: Solve for x
   x = 35,654,502,976/86,105
6. Step 6: Final answer
   x = 414,081.68