Finding the Third Proportional to 404,265 and 820,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,265 : 820,409.50 = 820,409.50 : x
2. Step 2: Convert to fraction form
   404,265/820,409.50 = 820,409.50/x
3. Step 3: Cross multiply
   404,265x = 820,409.50 × 820,409.50
4. Step 4: Simplify right side
   404,265x = 673,071,747,690.25
5. Step 5: Solve for x
   x = 673,071,747,690.25/404,265
6. Step 6: Final answer
   x = 1,664,927.08