Finding the Third Proportional to 419,623 and 898,142

Step by Step Solution

1. Step 1: Write the proportion equation
   419,623 : 898,142 = 898,142 : x
2. Step 2: Convert to fraction form
   419,623/898,142 = 898,142/x
3. Step 3: Cross multiply
   419,623x = 898,142 × 898,142
4. Step 4: Simplify right side
   419,623x = 806,659,052,164
5. Step 5: Solve for x
   x = 806,659,052,164/419,623
6. Step 6: Final answer
   x = 1,922,342.32