Finding the Third Proportional to 311,042 and 682,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,042 : 682,347.50 = 682,347.50 : x
2. Step 2: Convert to fraction form
   311,042/682,347.50 = 682,347.50/x
3. Step 3: Cross multiply
   311,042x = 682,347.50 × 682,347.50
4. Step 4: Simplify right side
   311,042x = 465,598,110,756.25
5. Step 5: Solve for x
   x = 465,598,110,756.25/311,042
6. Step 6: Final answer
   x = 1,496,897.88