Finding the Third Proportional to 111.19 and 206.06

Step by Step Solution

1. Step 1: Write the proportion equation
   111.19 : 206.06 = 206.06 : x
2. Step 2: Convert to fraction form
   111.19/206.06 = 206.06/x
3. Step 3: Cross multiply
   111.19x = 206.06 × 206.06
4. Step 4: Simplify right side
   111.19x = 42,461.75
5. Step 5: Solve for x
   x = 42,461.75/111.19
6. Step 6: Final answer
   x = 381.89