Finding the Third Proportional to 307,256 and 635,824

Step by Step Solution

1. Step 1: Write the proportion equation
   307,256 : 635,824 = 635,824 : x
2. Step 2: Convert to fraction form
   307,256/635,824 = 635,824/x
3. Step 3: Cross multiply
   307,256x = 635,824 × 635,824
4. Step 4: Simplify right side
   307,256x = 404,272,158,976
5. Step 5: Solve for x
   x = 404,272,158,976/307,256
6. Step 6: Final answer
   x = 1,315,750.25