Finding the Third Proportional to 311,046 and 682,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   311,046 : 682,354.50 = 682,354.50 : x
2. Step 2: Convert to fraction form
   311,046/682,354.50 = 682,354.50/x
3. Step 3: Cross multiply
   311,046x = 682,354.50 × 682,354.50
4. Step 4: Simplify right side
   311,046x = 465,607,663,670.25
5. Step 5: Solve for x
   x = 465,607,663,670.25/311,046
6. Step 6: Final answer
   x = 1,496,909.34