Finding the Third Proportional to 196.50 and 470

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 470 = 470 : x
2. Step 2: Convert to fraction form
   196.50/470 = 470/x
3. Step 3: Cross multiply
   196.50x = 470 × 470
4. Step 4: Simplify right side
   196.50x = 220,900
5. Step 5: Solve for x
   x = 220,900/196.50
6. Step 6: Final answer
   x = 1,124.17