Finding the Third Proportional to 578,838 and 894,499

Step by Step Solution

1. Step 1: Write the proportion equation
   578,838 : 894,499 = 894,499 : x
2. Step 2: Convert to fraction form
   578,838/894,499 = 894,499/x
3. Step 3: Cross multiply
   578,838x = 894,499 × 894,499
4. Step 4: Simplify right side
   578,838x = 800,128,461,001
5. Step 5: Solve for x
   x = 800,128,461,001/578,838
6. Step 6: Final answer
   x = 1,382,301.20