Finding the Third Proportional to 819,264 and 1,677,894

Step by Step Solution

1. Step 1: Write the proportion equation
   819,264 : 1,677,894 = 1,677,894 : x
2. Step 2: Convert to fraction form
   819,264/1,677,894 = 1,677,894/x
3. Step 3: Cross multiply
   819,264x = 1,677,894 × 1,677,894
4. Step 4: Simplify right side
   819,264x = 2,815,328,275,236
5. Step 5: Solve for x
   x = 2,815,328,275,236/819,264
6. Step 6: Final answer
   x = 3,436,411.55