Finding the Third Proportional to 142.31 and 193.22

Step by Step Solution

1. Step 1: Write the proportion equation
   142.31 : 193.22 = 193.22 : x
2. Step 2: Convert to fraction form
   142.31/193.22 = 193.22/x
3. Step 3: Cross multiply
   142.31x = 193.22 × 193.22
4. Step 4: Simplify right side
   142.31x = 37,333.49
5. Step 5: Solve for x
   x = 37,333.49/142.31
6. Step 6: Final answer
   x = 262.33