Finding the Third Proportional to 218,746 and 467,824

Step by Step Solution

1. Step 1: Write the proportion equation
   218,746 : 467,824 = 467,824 : x
2. Step 2: Convert to fraction form
   218,746/467,824 = 467,824/x
3. Step 3: Cross multiply
   218,746x = 467,824 × 467,824
4. Step 4: Simplify right side
   218,746x = 218,859,294,976
5. Step 5: Solve for x
   x = 218,859,294,976/218,746
6. Step 6: Final answer
   x = 1,000,517.93