Finding the Third Proportional to 408,096 and 633,456

Step by Step Solution

1. Step 1: Write the proportion equation
   408,096 : 633,456 = 633,456 : x
2. Step 2: Convert to fraction form
   408,096/633,456 = 633,456/x
3. Step 3: Cross multiply
   408,096x = 633,456 × 633,456
4. Step 4: Simplify right side
   408,096x = 401,266,503,936
5. Step 5: Solve for x
   x = 401,266,503,936/408,096
6. Step 6: Final answer
   x = 983,264.98