Finding the Third Proportional to 587.57 and 853.82

Step by Step Solution

1. Step 1: Write the proportion equation
   587.57 : 853.82 = 853.82 : x
2. Step 2: Convert to fraction form
   587.57/853.82 = 853.82/x
3. Step 3: Cross multiply
   587.57x = 853.82 × 853.82
4. Step 4: Simplify right side
   587.57x = 729,012.46
5. Step 5: Solve for x
   x = 729,012.46/587.57
6. Step 6: Final answer
   x = 1,240.73