Finding the Third Proportional to 320,500 and 683,898

Step by Step Solution

1. Step 1: Write the proportion equation
   320,500 : 683,898 = 683,898 : x
2. Step 2: Convert to fraction form
   320,500/683,898 = 683,898/x
3. Step 3: Cross multiply
   320,500x = 683,898 × 683,898
4. Step 4: Simplify right side
   320,500x = 467,716,474,404
5. Step 5: Solve for x
   x = 467,716,474,404/320,500
6. Step 6: Final answer
   x = 1,459,333.77