Finding the Third Proportional to 401,728 and 591,468

Step by Step Solution

1. Step 1: Write the proportion equation
   401,728 : 591,468 = 591,468 : x
2. Step 2: Convert to fraction form
   401,728/591,468 = 591,468/x
3. Step 3: Cross multiply
   401,728x = 591,468 × 591,468
4. Step 4: Simplify right side
   401,728x = 349,834,395,024
5. Step 5: Solve for x
   x = 349,834,395,024/401,728
6. Step 6: Final answer
   x = 870,824.03