Finding the Third Proportional to 89,721 and 188,742

Step by Step Solution

1. Step 1: Write the proportion equation
   89,721 : 188,742 = 188,742 : x
2. Step 2: Convert to fraction form
   89,721/188,742 = 188,742/x
3. Step 3: Cross multiply
   89,721x = 188,742 × 188,742
4. Step 4: Simplify right side
   89,721x = 35,623,542,564
5. Step 5: Solve for x
   x = 35,623,542,564/89,721
6. Step 6: Final answer
   x = 397,047.99