Finding the Third Proportional to 92.25 and 196.63

Step by Step Solution

1. Step 1: Write the proportion equation
   92.25 : 196.63 = 196.63 : x
2. Step 2: Convert to fraction form
   92.25/196.63 = 196.63/x
3. Step 3: Cross multiply
   92.25x = 196.63 × 196.63
4. Step 4: Simplify right side
   92.25x = 38,661.39
5. Step 5: Solve for x
   x = 38,661.39/92.25
6. Step 6: Final answer
   x = 419.09