Finding the Third Proportional to 200.72 and 255.98

Step by Step Solution

1. Step 1: Write the proportion equation
   200.72 : 255.98 = 255.98 : x
2. Step 2: Convert to fraction form
   200.72/255.98 = 255.98/x
3. Step 3: Cross multiply
   200.72x = 255.98 × 255.98
4. Step 4: Simplify right side
   200.72x = 65,528.00
5. Step 5: Solve for x
   x = 65,528.00/200.72
6. Step 6: Final answer
   x = 326.47