Finding the Third Proportional to 823,566 and 1,778,352

Step by Step Solution

1. Step 1: Write the proportion equation
   823,566 : 1,778,352 = 1,778,352 : x
2. Step 2: Convert to fraction form
   823,566/1,778,352 = 1,778,352/x
3. Step 3: Cross multiply
   823,566x = 1,778,352 × 1,778,352
4. Step 4: Simplify right side
   823,566x = 3,162,535,835,904
5. Step 5: Solve for x
   x = 3,162,535,835,904/823,566
6. Step 6: Final answer
   x = 3,840,051.48