Finding the Third Proportional to 472.50 and 733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   472.50 : 733.50 = 733.50 : x
2. Step 2: Convert to fraction form
   472.50/733.50 = 733.50/x
3. Step 3: Cross multiply
   472.50x = 733.50 × 733.50
4. Step 4: Simplify right side
   472.50x = 538,022.25
5. Step 5: Solve for x
   x = 538,022.25/472.50
6. Step 6: Final answer
   x = 1,138.67