Finding the Third Proportional to 82.58 and 196.49

Step by Step Solution

1. Step 1: Write the proportion equation
   82.58 : 196.49 = 196.49 : x
2. Step 2: Convert to fraction form
   82.58/196.49 = 196.49/x
3. Step 3: Cross multiply
   82.58x = 196.49 × 196.49
4. Step 4: Simplify right side
   82.58x = 38,607.64
5. Step 5: Solve for x
   x = 38,607.64/82.58
6. Step 6: Final answer
   x = 467.51