Finding the Third Proportional to 109.50 and 187.88

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 187.88 = 187.88 : x
2. Step 2: Convert to fraction form
   109.50/187.88 = 187.88/x
3. Step 3: Cross multiply
   109.50x = 187.88 × 187.88
4. Step 4: Simplify right side
   109.50x = 35,297.02
5. Step 5: Solve for x
   x = 35,297.02/109.50
6. Step 6: Final answer
   x = 322.35