Finding the Third Proportional to 270,330 and 389,404

Step by Step Solution

1. Step 1: Write the proportion equation
   270,330 : 389,404 = 389,404 : x
2. Step 2: Convert to fraction form
   270,330/389,404 = 389,404/x
3. Step 3: Cross multiply
   270,330x = 389,404 × 389,404
4. Step 4: Simplify right side
   270,330x = 151,635,475,216
5. Step 5: Solve for x
   x = 151,635,475,216/270,330
6. Step 6: Final answer
   x = 560,927.29