Finding the Third Proportional to 98.50 and 196.63

Step by Step Solution

1. Step 1: Write the proportion equation
   98.50 : 196.63 = 196.63 : x
2. Step 2: Convert to fraction form
   98.50/196.63 = 196.63/x
3. Step 3: Cross multiply
   98.50x = 196.63 × 196.63
4. Step 4: Simplify right side
   98.50x = 38,661.39
5. Step 5: Solve for x
   x = 38,661.39/98.50
6. Step 6: Final answer
   x = 392.50