Finding the Third Proportional to 259,320 and 389,244

Step by Step Solution

1. Step 1: Write the proportion equation
   259,320 : 389,244 = 389,244 : x
2. Step 2: Convert to fraction form
   259,320/389,244 = 389,244/x
3. Step 3: Cross multiply
   259,320x = 389,244 × 389,244
4. Step 4: Simplify right side
   259,320x = 151,510,891,536
5. Step 5: Solve for x
   x = 151,510,891,536/259,320
6. Step 6: Final answer
   x = 584,262.27