Finding the Third Proportional to 89,520 and 188,256

Step by Step Solution

1. Step 1: Write the proportion equation
   89,520 : 188,256 = 188,256 : x
2. Step 2: Convert to fraction form
   89,520/188,256 = 188,256/x
3. Step 3: Cross multiply
   89,520x = 188,256 × 188,256
4. Step 4: Simplify right side
   89,520x = 35,440,321,536
5. Step 5: Solve for x
   x = 35,440,321,536/89,520
6. Step 6: Final answer
   x = 395,892.78