Finding the Third Proportional to 127.88 and 200.63

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 200.63 = 200.63 : x
2. Step 2: Convert to fraction form
   127.88/200.63 = 200.63/x
3. Step 3: Cross multiply
   127.88x = 200.63 × 200.63
4. Step 4: Simplify right side
   127.88x = 40,250.39
5. Step 5: Solve for x
   x = 40,250.39/127.88
6. Step 6: Final answer
   x = 314.76