Finding the Third Proportional to 418,256 and 897,228

Step by Step Solution

1. Step 1: Write the proportion equation
   418,256 : 897,228 = 897,228 : x
2. Step 2: Convert to fraction form
   418,256/897,228 = 897,228/x
3. Step 3: Cross multiply
   418,256x = 897,228 × 897,228
4. Step 4: Simplify right side
   418,256x = 805,018,083,984
5. Step 5: Solve for x
   x = 805,018,083,984/418,256
6. Step 6: Final answer
   x = 1,924,701.82