Finding the Third Proportional to 311,862 and 682,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,862 : 682,021.50 = 682,021.50 : x
2. Step 2: Convert to fraction form
   311,862/682,021.50 = 682,021.50/x
3. Step 3: Cross multiply
   311,862x = 682,021.50 × 682,021.50
4. Step 4: Simplify right side
   311,862x = 465,153,326,462.25
5. Step 5: Solve for x
   x = 465,153,326,462.25/311,862
6. Step 6: Final answer
   x = 1,491,535.76