Finding the Third Proportional to 401,462.25 and 591,104.25

Step by Step Solution

1. Step 1: Write the proportion equation
   401,462.25 : 591,104.25 = 591,104.25 : x
2. Step 2: Convert to fraction form
   401,462.25/591,104.25 = 591,104.25/x
3. Step 3: Cross multiply
   401,462.25x = 591,104.25 × 591,104.25
4. Step 4: Simplify right side
   401,462.25x = 349,404,234,368.06
5. Step 5: Solve for x
   x = 349,404,234,368.06/401,462.25
6. Step 6: Final answer
   x = 870,328.99