Finding the Third Proportional to 823,564 and 1,778,348

Step by Step Solution

1. Step 1: Write the proportion equation
   823,564 : 1,778,348 = 1,778,348 : x
2. Step 2: Convert to fraction form
   823,564/1,778,348 = 1,778,348/x
3. Step 3: Cross multiply
   823,564x = 1,778,348 × 1,778,348
4. Step 4: Simplify right side
   823,564x = 3,162,521,609,104
5. Step 5: Solve for x
   x = 3,162,521,609,104/823,564
6. Step 6: Final answer
   x = 3,840,043.53