Finding the Third Proportional to 414,288 and 897,696

Step by Step Solution

1. Step 1: Write the proportion equation
   414,288 : 897,696 = 897,696 : x
2. Step 2: Convert to fraction form
   414,288/897,696 = 897,696/x
3. Step 3: Cross multiply
   414,288x = 897,696 × 897,696
4. Step 4: Simplify right side
   414,288x = 805,858,108,416
5. Step 5: Solve for x
   x = 805,858,108,416/414,288
6. Step 6: Final answer
   x = 1,945,164.01