Finding the Third Proportional to 415,923.75 and 851,556

Step by Step Solution

1. Step 1: Write the proportion equation
   415,923.75 : 851,556 = 851,556 : x
2. Step 2: Convert to fraction form
   415,923.75/851,556 = 851,556/x
3. Step 3: Cross multiply
   415,923.75x = 851,556 × 851,556
4. Step 4: Simplify right side
   415,923.75x = 725,147,621,136
5. Step 5: Solve for x
   x = 725,147,621,136/415,923.75
6. Step 6: Final answer
   x = 1,743,462.89