Finding the Third Proportional to 429.05 and 582.82

Step by Step Solution

1. Step 1: Write the proportion equation
   429.05 : 582.82 = 582.82 : x
2. Step 2: Convert to fraction form
   429.05/582.82 = 582.82/x
3. Step 3: Cross multiply
   429.05x = 582.82 × 582.82
4. Step 4: Simplify right side
   429.05x = 339,679.52
5. Step 5: Solve for x
   x = 339,679.52/429.05
6. Step 6: Final answer
   x = 791.71