Finding the Third Proportional to 109.88 and 200.06

Step by Step Solution

1. Step 1: Write the proportion equation
   109.88 : 200.06 = 200.06 : x
2. Step 2: Convert to fraction form
   109.88/200.06 = 200.06/x
3. Step 3: Cross multiply
   109.88x = 200.06 × 200.06
4. Step 4: Simplify right side
   109.88x = 40,025.00
5. Step 5: Solve for x
   x = 40,025.00/109.88
6. Step 6: Final answer
   x = 364.28