Finding the Third Proportional to 89,728 and 188,756

Step by Step Solution

1. Step 1: Write the proportion equation
   89,728 : 188,756 = 188,756 : x
2. Step 2: Convert to fraction form
   89,728/188,756 = 188,756/x
3. Step 3: Cross multiply
   89,728x = 188,756 × 188,756
4. Step 4: Simplify right side
   89,728x = 35,628,827,536
5. Step 5: Solve for x
   x = 35,628,827,536/89,728
6. Step 6: Final answer
   x = 397,075.91