Finding the Third Proportional to 587,974.50 and 828,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   587,974.50 : 828,022.50 = 828,022.50 : x
2. Step 2: Convert to fraction form
   587,974.50/828,022.50 = 828,022.50/x
3. Step 3: Cross multiply
   587,974.50x = 828,022.50 × 828,022.50
4. Step 4: Simplify right side
   587,974.50x = 685,621,260,506.25
5. Step 5: Solve for x
   x = 685,621,260,506.25/587,974.50
6. Step 6: Final answer
   x = 1,166,073.12