Finding the Third Proportional to 326,264 and 459,456

Step by Step Solution

1. Step 1: Write the proportion equation
   326,264 : 459,456 = 459,456 : x
2. Step 2: Convert to fraction form
   326,264/459,456 = 459,456/x
3. Step 3: Cross multiply
   326,264x = 459,456 × 459,456
4. Step 4: Simplify right side
   326,264x = 211,099,815,936
5. Step 5: Solve for x
   x = 211,099,815,936/326,264
6. Step 6: Final answer
   x = 647,021.48