Finding the Third Proportional to 538,933 and 898,256

Step by Step Solution

1. Step 1: Write the proportion equation
   538,933 : 898,256 = 898,256 : x
2. Step 2: Convert to fraction form
   538,933/898,256 = 898,256/x
3. Step 3: Cross multiply
   538,933x = 898,256 × 898,256
4. Step 4: Simplify right side
   538,933x = 806,863,841,536
5. Step 5: Solve for x
   x = 806,863,841,536/538,933
6. Step 6: Final answer
   x = 1,497,150.56