Finding the Third Proportional to 196.50 and 512.63

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 512.63 = 512.63 : x
2. Step 2: Convert to fraction form
   196.50/512.63 = 512.63/x
3. Step 3: Cross multiply
   196.50x = 512.63 × 512.63
4. Step 4: Simplify right side
   196.50x = 262,784.39
5. Step 5: Solve for x
   x = 262,784.39/196.50
6. Step 6: Final answer
   x = 1,337.33