Finding the Third Proportional to 389,570 and 584,354

Step by Step Solution

1. Step 1: Write the proportion equation
   389,570 : 584,354 = 584,354 : x
2. Step 2: Convert to fraction form
   389,570/584,354 = 584,354/x
3. Step 3: Cross multiply
   389,570x = 584,354 × 584,354
4. Step 4: Simplify right side
   389,570x = 341,469,597,316
5. Step 5: Solve for x
   x = 341,469,597,316/389,570
6. Step 6: Final answer
   x = 876,529.50