Finding the Third Proportional to 82.11 and 191.98

Step by Step Solution

1. Step 1: Write the proportion equation
   82.11 : 191.98 = 191.98 : x
2. Step 2: Convert to fraction form
   82.11/191.98 = 191.98/x
3. Step 3: Cross multiply
   82.11x = 191.98 × 191.98
4. Step 4: Simplify right side
   82.11x = 36,856.13
5. Step 5: Solve for x
   x = 36,856.13/82.11
6. Step 6: Final answer
   x = 448.88