Finding the Third Proportional to 106 and 141.31

Step by Step Solution

1. Step 1: Write the proportion equation
   106 : 141.31 = 141.31 : x
2. Step 2: Convert to fraction form
   106/141.31 = 141.31/x
3. Step 3: Cross multiply
   106x = 141.31 × 141.31
4. Step 4: Simplify right side
   106x = 19,969.22
5. Step 5: Solve for x
   x = 19,969.22/106
6. Step 6: Final answer
   x = 188.39