Finding the Third Proportional to 320,436 and 683,766

Step by Step Solution

1. Step 1: Write the proportion equation
   320,436 : 683,766 = 683,766 : x
2. Step 2: Convert to fraction form
   320,436/683,766 = 683,766/x
3. Step 3: Cross multiply
   320,436x = 683,766 × 683,766
4. Step 4: Simplify right side
   320,436x = 467,535,942,756
5. Step 5: Solve for x
   x = 467,535,942,756/320,436
6. Step 6: Final answer
   x = 1,459,061.85