Finding the Third Proportional to 218,976 and 472,960

Step by Step Solution

1. Step 1: Write the proportion equation
   218,976 : 472,960 = 472,960 : x
2. Step 2: Convert to fraction form
   218,976/472,960 = 472,960/x
3. Step 3: Cross multiply
   218,976x = 472,960 × 472,960
4. Step 4: Simplify right side
   218,976x = 223,691,161,600
5. Step 5: Solve for x
   x = 223,691,161,600/218,976
6. Step 6: Final answer
   x = 1,021,532.78