Finding the Third Proportional to 820,824 and 1,233,612

Step by Step Solution

1. Step 1: Write the proportion equation
   820,824 : 1,233,612 = 1,233,612 : x
2. Step 2: Convert to fraction form
   820,824/1,233,612 = 1,233,612/x
3. Step 3: Cross multiply
   820,824x = 1,233,612 × 1,233,612
4. Step 4: Simplify right side
   820,824x = 1,521,798,566,544
5. Step 5: Solve for x
   x = 1,521,798,566,544/820,824
6. Step 6: Final answer
   x = 1,853,988.88