Finding the Third Proportional to 587,967 and 828,012

Step by Step Solution

1. Step 1: Write the proportion equation
   587,967 : 828,012 = 828,012 : x
2. Step 2: Convert to fraction form
   587,967/828,012 = 828,012/x
3. Step 3: Cross multiply
   587,967x = 828,012 × 828,012
4. Step 4: Simplify right side
   587,967x = 685,603,872,144
5. Step 5: Solve for x
   x = 685,603,872,144/587,967
6. Step 6: Final answer
   x = 1,166,058.42