Finding the Third Proportional to 419,418 and 911,736

Step by Step Solution

1. Step 1: Write the proportion equation
   419,418 : 911,736 = 911,736 : x
2. Step 2: Convert to fraction form
   419,418/911,736 = 911,736/x
3. Step 3: Cross multiply
   419,418x = 911,736 × 911,736
4. Step 4: Simplify right side
   419,418x = 831,262,533,696
5. Step 5: Solve for x
   x = 831,262,533,696/419,418
6. Step 6: Final answer
   x = 1,981,942.92