Finding the Third Proportional to 321,408 and 452,736

Step by Step Solution

1. Step 1: Write the proportion equation
   321,408 : 452,736 = 452,736 : x
2. Step 2: Convert to fraction form
   321,408/452,736 = 452,736/x
3. Step 3: Cross multiply
   321,408x = 452,736 × 452,736
4. Step 4: Simplify right side
   321,408x = 204,969,885,696
5. Step 5: Solve for x
   x = 204,969,885,696/321,408
6. Step 6: Final answer
   x = 637,724.90