Finding the Third Proportional to 89,728 and 188,750

Step by Step Solution

1. Step 1: Write the proportion equation
   89,728 : 188,750 = 188,750 : x
2. Step 2: Convert to fraction form
   89,728/188,750 = 188,750/x
3. Step 3: Cross multiply
   89,728x = 188,750 × 188,750
4. Step 4: Simplify right side
   89,728x = 35,626,562,500
5. Step 5: Solve for x
   x = 35,626,562,500/89,728
6. Step 6: Final answer
   x = 397,050.67