Finding the Third Proportional to 83.50 and 142.13

Step by Step Solution

1. Step 1: Write the proportion equation
   83.50 : 142.13 = 142.13 : x
2. Step 2: Convert to fraction form
   83.50/142.13 = 142.13/x
3. Step 3: Cross multiply
   83.50x = 142.13 × 142.13
4. Step 4: Simplify right side
   83.50x = 20,199.52
5. Step 5: Solve for x
   x = 20,199.52/83.50
6. Step 6: Final answer
   x = 241.91