Finding the Third Proportional to 820,896 and 1,233,720

Step by Step Solution

1. Step 1: Write the proportion equation
   820,896 : 1,233,720 = 1,233,720 : x
2. Step 2: Convert to fraction form
   820,896/1,233,720 = 1,233,720/x
3. Step 3: Cross multiply
   820,896x = 1,233,720 × 1,233,720
4. Step 4: Simplify right side
   820,896x = 1,522,065,038,400
5. Step 5: Solve for x
   x = 1,522,065,038,400/820,896
6. Step 6: Final answer
   x = 1,854,150.88