Finding the Third Proportional to 109.13 and 148.03

Step by Step Solution

1. Step 1: Write the proportion equation
   109.13 : 148.03 = 148.03 : x
2. Step 2: Convert to fraction form
   109.13/148.03 = 148.03/x
3. Step 3: Cross multiply
   109.13x = 148.03 × 148.03
4. Step 4: Simplify right side
   109.13x = 21,913.25
5. Step 5: Solve for x
   x = 21,913.25/109.13
6. Step 6: Final answer
   x = 200.81