Finding the Third Proportional to 219,024 and 472,824

Step by Step Solution

1. Step 1: Write the proportion equation
   219,024 : 472,824 = 472,824 : x
2. Step 2: Convert to fraction form
   219,024/472,824 = 472,824/x
3. Step 3: Cross multiply
   219,024x = 472,824 × 472,824
4. Step 4: Simplify right side
   219,024x = 223,562,534,976
5. Step 5: Solve for x
   x = 223,562,534,976/219,024
6. Step 6: Final answer
   x = 1,020,721.63