Finding the Third Proportional to 415,816 and 898,105

Step by Step Solution

1. Step 1: Write the proportion equation
   415,816 : 898,105 = 898,105 : x
2. Step 2: Convert to fraction form
   415,816/898,105 = 898,105/x
3. Step 3: Cross multiply
   415,816x = 898,105 × 898,105
4. Step 4: Simplify right side
   415,816x = 806,592,591,025
5. Step 5: Solve for x
   x = 806,592,591,025/415,816
6. Step 6: Final answer
   x = 1,939,782.48