Finding the Third Proportional to 40.19 and 108.06

Step by Step Solution

1. Step 1: Write the proportion equation
   40.19 : 108.06 = 108.06 : x
2. Step 2: Convert to fraction form
   40.19/108.06 = 108.06/x
3. Step 3: Cross multiply
   40.19x = 108.06 × 108.06
4. Step 4: Simplify right side
   40.19x = 11,677.50
5. Step 5: Solve for x
   x = 11,677.50/40.19
6. Step 6: Final answer
   x = 290.58