Finding the Third Proportional to 262,503 and 577,494

Step by Step Solution

1. Step 1: Write the proportion equation
   262,503 : 577,494 = 577,494 : x
2. Step 2: Convert to fraction form
   262,503/577,494 = 577,494/x
3. Step 3: Cross multiply
   262,503x = 577,494 × 577,494
4. Step 4: Simplify right side
   262,503x = 333,499,320,036
5. Step 5: Solve for x
   x = 333,499,320,036/262,503
6. Step 6: Final answer
   x = 1,270,459.08