Finding the Third Proportional to 109.13 and 187.59

Step by Step Solution

1. Step 1: Write the proportion equation
   109.13 : 187.59 = 187.59 : x
2. Step 2: Convert to fraction form
   109.13/187.59 = 187.59/x
3. Step 3: Cross multiply
   109.13x = 187.59 × 187.59
4. Step 4: Simplify right side
   109.13x = 35,191.42
5. Step 5: Solve for x
   x = 35,191.42/109.13
6. Step 6: Final answer
   x = 322.49