Finding the Third Proportional to 401.50 and 854.25

Step by Step Solution

1. Step 1: Write the proportion equation
   401.50 : 854.25 = 854.25 : x
2. Step 2: Convert to fraction form
   401.50/854.25 = 854.25/x
3. Step 3: Cross multiply
   401.50x = 854.25 × 854.25
4. Step 4: Simplify right side
   401.50x = 729,743.06
5. Step 5: Solve for x
   x = 729,743.06/401.50
6. Step 6: Final answer
   x = 1,817.54