Finding the Third Proportional to 196.25 and 234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196.25 : 234.50 = 234.50 : x
2. Step 2: Convert to fraction form
   196.25/234.50 = 234.50/x
3. Step 3: Cross multiply
   196.25x = 234.50 × 234.50
4. Step 4: Simplify right side
   196.25x = 54,990.25
5. Step 5: Solve for x
   x = 54,990.25/196.25
6. Step 6: Final answer
   x = 280.21