Finding the Third Proportional to 89,685 and 188,664

Step by Step Solution

1. Step 1: Write the proportion equation
   89,685 : 188,664 = 188,664 : x
2. Step 2: Convert to fraction form
   89,685/188,664 = 188,664/x
3. Step 3: Cross multiply
   89,685x = 188,664 × 188,664
4. Step 4: Simplify right side
   89,685x = 35,594,104,896
5. Step 5: Solve for x
   x = 35,594,104,896/89,685
6. Step 6: Final answer
   x = 396,879.13