Finding the Third Proportional to 114.50 and 206.88

Step by Step Solution

1. Step 1: Write the proportion equation
   114.50 : 206.88 = 206.88 : x
2. Step 2: Convert to fraction form
   114.50/206.88 = 206.88/x
3. Step 3: Cross multiply
   114.50x = 206.88 × 206.88
4. Step 4: Simplify right side
   114.50x = 42,797.27
5. Step 5: Solve for x
   x = 42,797.27/114.50
6. Step 6: Final answer
   x = 373.78