Finding the Third Proportional to 403.50 and 853.38

Step by Step Solution

1. Step 1: Write the proportion equation
   403.50 : 853.38 = 853.38 : x
2. Step 2: Convert to fraction form
   403.50/853.38 = 853.38/x
3. Step 3: Cross multiply
   403.50x = 853.38 × 853.38
4. Step 4: Simplify right side
   403.50x = 728,248.89
5. Step 5: Solve for x
   x = 728,248.89/403.50
6. Step 6: Final answer
   x = 1,804.83