Finding the Third Proportional to 389,448 and 588,384

Step by Step Solution

1. Step 1: Write the proportion equation
   389,448 : 588,384 = 588,384 : x
2. Step 2: Convert to fraction form
   389,448/588,384 = 588,384/x
3. Step 3: Cross multiply
   389,448x = 588,384 × 588,384
4. Step 4: Simplify right side
   389,448x = 346,195,731,456
5. Step 5: Solve for x
   x = 346,195,731,456/389,448
6. Step 6: Final answer
   x = 888,939.55