Finding the Third Proportional to 191.81 and 206.86

Step by Step Solution

1. Step 1: Write the proportion equation
   191.81 : 206.86 = 206.86 : x
2. Step 2: Convert to fraction form
   191.81/206.86 = 206.86/x
3. Step 3: Cross multiply
   191.81x = 206.86 × 206.86
4. Step 4: Simplify right side
   191.81x = 42,790.80
5. Step 5: Solve for x
   x = 42,790.80/191.81
6. Step 6: Final answer
   x = 223.09