Finding the Third Proportional to 110.50 and 214.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110.50 : 214.25 = 214.25 : x
2. Step 2: Convert to fraction form
   110.50/214.25 = 214.25/x
3. Step 3: Cross multiply
   110.50x = 214.25 × 214.25
4. Step 4: Simplify right side
   110.50x = 45,903.06
5. Step 5: Solve for x
   x = 45,903.06/110.50
6. Step 6: Final answer
   x = 415.41