Finding the Third Proportional to 322,482 and 508,456

Step by Step Solution

1. Step 1: Write the proportion equation
   322,482 : 508,456 = 508,456 : x
2. Step 2: Convert to fraction form
   322,482/508,456 = 508,456/x
3. Step 3: Cross multiply
   322,482x = 508,456 × 508,456
4. Step 4: Simplify right side
   322,482x = 258,527,503,936
5. Step 5: Solve for x
   x = 258,527,503,936/322,482
6. Step 6: Final answer
   x = 801,680.42