Finding the Third Proportional to 109.50 and 118.13

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 118.13 = 118.13 : x
2. Step 2: Convert to fraction form
   109.50/118.13 = 118.13/x
3. Step 3: Cross multiply
   109.50x = 118.13 × 118.13
4. Step 4: Simplify right side
   109.50x = 13,953.52
5. Step 5: Solve for x
   x = 13,953.52/109.50
6. Step 6: Final answer
   x = 127.43