Finding the Third Proportional to 196.17 and 533.67

Step by Step Solution

1. Step 1: Write the proportion equation
   196.17 : 533.67 = 533.67 : x
2. Step 2: Convert to fraction form
   196.17/533.67 = 533.67/x
3. Step 3: Cross multiply
   196.17x = 533.67 × 533.67
4. Step 4: Simplify right side
   196.17x = 284,805.67
5. Step 5: Solve for x
   x = 284,805.67/196.17
6. Step 6: Final answer
   x = 1,451.82