Finding the Third Proportional to 150,084 and 320,256

Step by Step Solution

1. Step 1: Write the proportion equation
   150,084 : 320,256 = 320,256 : x
2. Step 2: Convert to fraction form
   150,084/320,256 = 320,256/x
3. Step 3: Cross multiply
   150,084x = 320,256 × 320,256
4. Step 4: Simplify right side
   150,084x = 102,563,905,536
5. Step 5: Solve for x
   x = 102,563,905,536/150,084
6. Step 6: Final answer
   x = 683,376.68