Finding the Third Proportional to 417,468 and 909,456

Step by Step Solution

1. Step 1: Write the proportion equation
   417,468 : 909,456 = 909,456 : x
2. Step 2: Convert to fraction form
   417,468/909,456 = 909,456/x
3. Step 3: Cross multiply
   417,468x = 909,456 × 909,456
4. Step 4: Simplify right side
   417,468x = 827,110,215,936
5. Step 5: Solve for x
   x = 827,110,215,936/417,468
6. Step 6: Final answer
   x = 1,981,254.17