Finding the Third Proportional to 209,998 and 460,824

Step by Step Solution

1. Step 1: Write the proportion equation
   209,998 : 460,824 = 460,824 : x
2. Step 2: Convert to fraction form
   209,998/460,824 = 460,824/x
3. Step 3: Cross multiply
   209,998x = 460,824 × 460,824
4. Step 4: Simplify right side
   209,998x = 212,358,758,976
5. Step 5: Solve for x
   x = 212,358,758,976/209,998
6. Step 6: Final answer
   x = 1,011,241.82