Finding the Third Proportional to 196.50 and 368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 368.50 = 368.50 : x
2. Step 2: Convert to fraction form
   196.50/368.50 = 368.50/x
3. Step 3: Cross multiply
   196.50x = 368.50 × 368.50
4. Step 4: Simplify right side
   196.50x = 135,792.25
5. Step 5: Solve for x
   x = 135,792.25/196.50
6. Step 6: Final answer
   x = 691.05