Finding the Third Proportional to 126.50 and 196.56

Step by Step Solution

1. Step 1: Write the proportion equation
   126.50 : 196.56 = 196.56 : x
2. Step 2: Convert to fraction form
   126.50/196.56 = 196.56/x
3. Step 3: Cross multiply
   126.50x = 196.56 × 196.56
4. Step 4: Simplify right side
   126.50x = 38,636.82
5. Step 5: Solve for x
   x = 38,636.82/126.50
6. Step 6: Final answer
   x = 305.43