Finding the Third Proportional to 389,628 and 584,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   389,628 : 584,455.50 = 584,455.50 : x
2. Step 2: Convert to fraction form
   389,628/584,455.50 = 584,455.50/x
3. Step 3: Cross multiply
   389,628x = 584,455.50 × 584,455.50
4. Step 4: Simplify right side
   389,628x = 341,588,231,480.25
5. Step 5: Solve for x
   x = 341,588,231,480.25/389,628
6. Step 6: Final answer
   x = 876,703.50