Finding the Third Proportional to 205.50 and 371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205.50 : 371.50 = 371.50 : x
2. Step 2: Convert to fraction form
   205.50/371.50 = 371.50/x
3. Step 3: Cross multiply
   205.50x = 371.50 × 371.50
4. Step 4: Simplify right side
   205.50x = 138,012.25
5. Step 5: Solve for x
   x = 138,012.25/205.50
6. Step 6: Final answer
   x = 671.59