Finding the Third Proportional to 419,872 and 904,256

Step by Step Solution

1. Step 1: Write the proportion equation
   419,872 : 904,256 = 904,256 : x
2. Step 2: Convert to fraction form
   419,872/904,256 = 904,256/x
3. Step 3: Cross multiply
   419,872x = 904,256 × 904,256
4. Step 4: Simplify right side
   419,872x = 817,678,913,536
5. Step 5: Solve for x
   x = 817,678,913,536/419,872
6. Step 6: Final answer
   x = 1,947,448.06