Finding the Third Proportional to 320,860 and 683,008

Step by Step Solution

1. Step 1: Write the proportion equation
   320,860 : 683,008 = 683,008 : x
2. Step 2: Convert to fraction form
   320,860/683,008 = 683,008/x
3. Step 3: Cross multiply
   320,860x = 683,008 × 683,008
4. Step 4: Simplify right side
   320,860x = 466,499,928,064
5. Step 5: Solve for x
   x = 466,499,928,064/320,860
6. Step 6: Final answer
   x = 1,453,904.91