Finding the Third Proportional to 154,256 and 320,824

Step by Step Solution

1. Step 1: Write the proportion equation
   154,256 : 320,824 = 320,824 : x
2. Step 2: Convert to fraction form
   154,256/320,824 = 320,824/x
3. Step 3: Cross multiply
   154,256x = 320,824 × 320,824
4. Step 4: Simplify right side
   154,256x = 102,928,038,976
5. Step 5: Solve for x
   x = 102,928,038,976/154,256
6. Step 6: Final answer
   x = 667,254.69