Finding the Third Proportional to 323,440 and 680,384

Step by Step Solution

1. Step 1: Write the proportion equation
   323,440 : 680,384 = 680,384 : x
2. Step 2: Convert to fraction form
   323,440/680,384 = 680,384/x
3. Step 3: Cross multiply
   323,440x = 680,384 × 680,384
4. Step 4: Simplify right side
   323,440x = 462,922,387,456
5. Step 5: Solve for x
   x = 462,922,387,456/323,440
6. Step 6: Final answer
   x = 1,431,246.56