Finding the Third Proportional to 418,192 and 648,456

Step by Step Solution

1. Step 1: Write the proportion equation
   418,192 : 648,456 = 648,456 : x
2. Step 2: Convert to fraction form
   418,192/648,456 = 648,456/x
3. Step 3: Cross multiply
   418,192x = 648,456 × 648,456
4. Step 4: Simplify right side
   418,192x = 420,495,183,936
5. Step 5: Solve for x
   x = 420,495,183,936/418,192
6. Step 6: Final answer
   x = 1,005,507.48