Finding the Third Proportional to 401,462 and 591,103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,462 : 591,103.50 = 591,103.50 : x
2. Step 2: Convert to fraction form
   401,462/591,103.50 = 591,103.50/x
3. Step 3: Cross multiply
   401,462x = 591,103.50 × 591,103.50
4. Step 4: Simplify right side
   401,462x = 349,403,347,712.25
5. Step 5: Solve for x
   x = 349,403,347,712.25/401,462
6. Step 6: Final answer
   x = 870,327.32