Finding the Third Proportional to 83.85 and 131.47

Step by Step Solution

1. Step 1: Write the proportion equation
   83.85 : 131.47 = 131.47 : x
2. Step 2: Convert to fraction form
   83.85/131.47 = 131.47/x
3. Step 3: Cross multiply
   83.85x = 131.47 × 131.47
4. Step 4: Simplify right side
   83.85x = 17,283.52
5. Step 5: Solve for x
   x = 17,283.52/83.85
6. Step 6: Final answer
   x = 206.13