Finding the Third Proportional to 89,692 and 188,676

Step by Step Solution

1. Step 1: Write the proportion equation
   89,692 : 188,676 = 188,676 : x
2. Step 2: Convert to fraction form
   89,692/188,676 = 188,676/x
3. Step 3: Cross multiply
   89,692x = 188,676 × 188,676
4. Step 4: Simplify right side
   89,692x = 35,598,632,976
5. Step 5: Solve for x
   x = 35,598,632,976/89,692
6. Step 6: Final answer
   x = 396,898.64