Finding the Third Proportional to 109.13 and 146.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109.13 : 146.25 = 146.25 : x
2. Step 2: Convert to fraction form
   109.13/146.25 = 146.25/x
3. Step 3: Cross multiply
   109.13x = 146.25 × 146.25
4. Step 4: Simplify right side
   109.13x = 21,389.06
5. Step 5: Solve for x
   x = 21,389.06/109.13
6. Step 6: Final answer
   x = 196.01