Finding the Third Proportional to 105.26 and 150.29

Step by Step Solution

1. Step 1: Write the proportion equation
   105.26 : 150.29 = 150.29 : x
2. Step 2: Convert to fraction form
   105.26/150.29 = 150.29/x
3. Step 3: Cross multiply
   105.26x = 150.29 × 150.29
4. Step 4: Simplify right side
   105.26x = 22,587.98
5. Step 5: Solve for x
   x = 22,587.98/105.26
6. Step 6: Final answer
   x = 214.60