Finding the Third Proportional to 417,208 and 897,314

Step by Step Solution

1. Step 1: Write the proportion equation
   417,208 : 897,314 = 897,314 : x
2. Step 2: Convert to fraction form
   417,208/897,314 = 897,314/x
3. Step 3: Cross multiply
   417,208x = 897,314 × 897,314
4. Step 4: Simplify right side
   417,208x = 805,172,414,596
5. Step 5: Solve for x
   x = 805,172,414,596/417,208
6. Step 6: Final answer
   x = 1,929,906.46