Finding the Third Proportional to 822,384 and 1,753,344

Step by Step Solution

1. Step 1: Write the proportion equation
   822,384 : 1,753,344 = 1,753,344 : x
2. Step 2: Convert to fraction form
   822,384/1,753,344 = 1,753,344/x
3. Step 3: Cross multiply
   822,384x = 1,753,344 × 1,753,344
4. Step 4: Simplify right side
   822,384x = 3,074,215,182,336
5. Step 5: Solve for x
   x = 3,074,215,182,336/822,384
6. Step 6: Final answer
   x = 3,738,174.85