Finding the Third Proportional to 415,919 and 851,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,919 : 851,546.50 = 851,546.50 : x
2. Step 2: Convert to fraction form
   415,919/851,546.50 = 851,546.50/x
3. Step 3: Cross multiply
   415,919x = 851,546.50 × 851,546.50
4. Step 4: Simplify right side
   415,919x = 725,131,441,662.25
5. Step 5: Solve for x
   x = 725,131,441,662.25/415,919
6. Step 6: Final answer
   x = 1,743,443.90