Finding the Third Proportional to 89,721 and 188,737.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,721 : 188,737.50 = 188,737.50 : x
2. Step 2: Convert to fraction form
   89,721/188,737.50 = 188,737.50/x
3. Step 3: Cross multiply
   89,721x = 188,737.50 × 188,737.50
4. Step 4: Simplify right side
   89,721x = 35,621,843,906.25
5. Step 5: Solve for x
   x = 35,621,843,906.25/89,721
6. Step 6: Final answer
   x = 397,029.06