Finding the Third Proportional to 447,968 and 645,456

Step by Step Solution

1. Step 1: Write the proportion equation
   447,968 : 645,456 = 645,456 : x
2. Step 2: Convert to fraction form
   447,968/645,456 = 645,456/x
3. Step 3: Cross multiply
   447,968x = 645,456 × 645,456
4. Step 4: Simplify right side
   447,968x = 416,613,447,936
5. Step 5: Solve for x
   x = 416,613,447,936/447,968
6. Step 6: Final answer
   x = 930,007.16