Finding the Third Proportional to 320,862 and 683,012

Step by Step Solution

1. Step 1: Write the proportion equation
   320,862 : 683,012 = 683,012 : x
2. Step 2: Convert to fraction form
   320,862/683,012 = 683,012/x
3. Step 3: Cross multiply
   320,862x = 683,012 × 683,012
4. Step 4: Simplify right side
   320,862x = 466,505,392,144
5. Step 5: Solve for x
   x = 466,505,392,144/320,862
6. Step 6: Final answer
   x = 1,453,912.87