Finding the Third Proportional to 269,811 and 389,799

Step by Step Solution

1. Step 1: Write the proportion equation
   269,811 : 389,799 = 389,799 : x
2. Step 2: Convert to fraction form
   269,811/389,799 = 389,799/x
3. Step 3: Cross multiply
   269,811x = 389,799 × 389,799
4. Step 4: Simplify right side
   269,811x = 151,943,260,401
5. Step 5: Solve for x
   x = 151,943,260,401/269,811
6. Step 6: Final answer
   x = 563,147.02