Finding the Third Proportional to 364.50 and 550.31

Step by Step Solution

1. Step 1: Write the proportion equation
   364.50 : 550.31 = 550.31 : x
2. Step 2: Convert to fraction form
   364.50/550.31 = 550.31/x
3. Step 3: Cross multiply
   364.50x = 550.31 × 550.31
4. Step 4: Simplify right side
   364.50x = 302,843.85
5. Step 5: Solve for x
   x = 302,843.85/364.50
6. Step 6: Final answer
   x = 830.85