Finding the Third Proportional to 389,496 and 588,456

Step by Step Solution

1. Step 1: Write the proportion equation
   389,496 : 588,456 = 588,456 : x
2. Step 2: Convert to fraction form
   389,496/588,456 = 588,456/x
3. Step 3: Cross multiply
   389,496x = 588,456 × 588,456
4. Step 4: Simplify right side
   389,496x = 346,280,463,936
5. Step 5: Solve for x
   x = 346,280,463,936/389,496
6. Step 6: Final answer
   x = 889,047.55