Finding the Third Proportional to 415,975 and 851,662

Step by Step Solution

1. Step 1: Write the proportion equation
   415,975 : 851,662 = 851,662 : x
2. Step 2: Convert to fraction form
   415,975/851,662 = 851,662/x
3. Step 3: Cross multiply
   415,975x = 851,662 × 851,662
4. Step 4: Simplify right side
   415,975x = 725,328,162,244
5. Step 5: Solve for x
   x = 725,328,162,244/415,975
6. Step 6: Final answer
   x = 1,743,682.10