Finding the Third Proportional to 415,922 and 851,552.25

Step by Step Solution

1. Step 1: Write the proportion equation
   415,922 : 851,552.25 = 851,552.25 : x
2. Step 2: Convert to fraction form
   415,922/851,552.25 = 851,552.25/x
3. Step 3: Cross multiply
   415,922x = 851,552.25 × 851,552.25
4. Step 4: Simplify right side
   415,922x = 725,141,234,480.06
5. Step 5: Solve for x
   x = 725,141,234,480.06/415,922
6. Step 6: Final answer
   x = 1,743,454.87