Finding the Third Proportional to 424,142 and 897,366

Step by Step Solution

1. Step 1: Write the proportion equation
   424,142 : 897,366 = 897,366 : x
2. Step 2: Convert to fraction form
   424,142/897,366 = 897,366/x
3. Step 3: Cross multiply
   424,142x = 897,366 × 897,366
4. Step 4: Simplify right side
   424,142x = 805,265,737,956
5. Step 5: Solve for x
   x = 805,265,737,956/424,142
6. Step 6: Final answer
   x = 1,898,575.80