Finding the Third Proportional to 89,716 and 188,728

Step by Step Solution

1. Step 1: Write the proportion equation
   89,716 : 188,728 = 188,728 : x
2. Step 2: Convert to fraction form
   89,716/188,728 = 188,728/x
3. Step 3: Cross multiply
   89,716x = 188,728 × 188,728
4. Step 4: Simplify right side
   89,716x = 35,618,257,984
5. Step 5: Solve for x
   x = 35,618,257,984/89,716
6. Step 6: Final answer
   x = 397,011.21