Finding the Third Proportional to 587,772 and 827,711

Step by Step Solution

1. Step 1: Write the proportion equation
   587,772 : 827,711 = 827,711 : x
2. Step 2: Convert to fraction form
   587,772/827,711 = 827,711/x
3. Step 3: Cross multiply
   587,772x = 827,711 × 827,711
4. Step 4: Simplify right side
   587,772x = 685,105,499,521
5. Step 5: Solve for x
   x = 685,105,499,521/587,772
6. Step 6: Final answer
   x = 1,165,597.37