Finding the Third Proportional to 411,314 and 897,364

Step by Step Solution

1. Step 1: Write the proportion equation
   411,314 : 897,364 = 897,364 : x
2. Step 2: Convert to fraction form
   411,314/897,364 = 897,364/x
3. Step 3: Cross multiply
   411,314x = 897,364 × 897,364
4. Step 4: Simplify right side
   411,314x = 805,262,148,496
5. Step 5: Solve for x
   x = 805,262,148,496/411,314
6. Step 6: Final answer
   x = 1,957,779.58