Finding the Third Proportional to 385.50 and 506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   385.50 : 506.50 = 506.50 : x
2. Step 2: Convert to fraction form
   385.50/506.50 = 506.50/x
3. Step 3: Cross multiply
   385.50x = 506.50 × 506.50
4. Step 4: Simplify right side
   385.50x = 256,542.25
5. Step 5: Solve for x
   x = 256,542.25/385.50
6. Step 6: Final answer
   x = 665.48