Finding the Third Proportional to 133.31 and 331.03

Step by Step Solution

1. Step 1: Write the proportion equation
   133.31 : 331.03 = 331.03 : x
2. Step 2: Convert to fraction form
   133.31/331.03 = 331.03/x
3. Step 3: Cross multiply
   133.31x = 331.03 × 331.03
4. Step 4: Simplify right side
   133.31x = 109,581.69
5. Step 5: Solve for x
   x = 109,581.69/133.31
6. Step 6: Final answer
   x = 821.99