Finding the Third Proportional to 434,689 and 897,314

Step by Step Solution

1. Step 1: Write the proportion equation
   434,689 : 897,314 = 897,314 : x
2. Step 2: Convert to fraction form
   434,689/897,314 = 897,314/x
3. Step 3: Cross multiply
   434,689x = 897,314 × 897,314
4. Step 4: Simplify right side
   434,689x = 805,172,414,596
5. Step 5: Solve for x
   x = 805,172,414,596/434,689
6. Step 6: Final answer
   x = 1,852,295.35