Finding the Third Proportional to 323,405 and 680,323

Step by Step Solution

1. Step 1: Write the proportion equation
   323,405 : 680,323 = 680,323 : x
2. Step 2: Convert to fraction form
   323,405/680,323 = 680,323/x
3. Step 3: Cross multiply
   323,405x = 680,323 × 680,323
4. Step 4: Simplify right side
   323,405x = 462,839,384,329
5. Step 5: Solve for x
   x = 462,839,384,329/323,405
6. Step 6: Final answer
   x = 1,431,144.80