Finding the Third Proportional to 415,969 and 851,650

Step by Step Solution

1. Step 1: Write the proportion equation
   415,969 : 851,650 = 851,650 : x
2. Step 2: Convert to fraction form
   415,969/851,650 = 851,650/x
3. Step 3: Cross multiply
   415,969x = 851,650 × 851,650
4. Step 4: Simplify right side
   415,969x = 725,307,722,500
5. Step 5: Solve for x
   x = 725,307,722,500/415,969
6. Step 6: Final answer
   x = 1,743,658.12