Finding the Third Proportional to 82.69 and 194.91

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 194.91 = 194.91 : x
2. Step 2: Convert to fraction form
   82.69/194.91 = 194.91/x
3. Step 3: Cross multiply
   82.69x = 194.91 × 194.91
4. Step 4: Simplify right side
   82.69x = 37,988.45
5. Step 5: Solve for x
   x = 37,988.45/82.69
6. Step 6: Final answer
   x = 459.42