Finding the Third Proportional to 404,262.88 and 820,405.23

Step by Step Solution

1. Step 1: Write the proportion equation
   404,262.88 : 820,405.23 = 820,405.23 : x
2. Step 2: Convert to fraction form
   404,262.88/820,405.23 = 820,405.23/x
3. Step 3: Cross multiply
   404,262.88x = 820,405.23 × 820,405.23
4. Step 4: Simplify right side
   404,262.88x = 673,064,742,180.48
5. Step 5: Solve for x
   x = 673,064,742,180.48/404,262.88
6. Step 6: Final answer
   x = 1,664,918.49