Finding the Third Proportional to 82.69 and 141.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 141.06 = 141.06 : x
2. Step 2: Convert to fraction form
   82.69/141.06 = 141.06/x
3. Step 3: Cross multiply
   82.69x = 141.06 × 141.06
4. Step 4: Simplify right side
   82.69x = 19,898.63
5. Step 5: Solve for x
   x = 19,898.63/82.69
6. Step 6: Final answer
   x = 240.65