Finding the Third Proportional to 417,968 and 609,456

Step by Step Solution

1. Step 1: Write the proportion equation
   417,968 : 609,456 = 609,456 : x
2. Step 2: Convert to fraction form
   417,968/609,456 = 609,456/x
3. Step 3: Cross multiply
   417,968x = 609,456 × 609,456
4. Step 4: Simplify right side
   417,968x = 371,436,615,936
5. Step 5: Solve for x
   x = 371,436,615,936/417,968
6. Step 6: Final answer
   x = 888,672.38