Finding the Third Proportional to 149.34 and 232.31

Step by Step Solution

1. Step 1: Write the proportion equation
   149.34 : 232.31 = 232.31 : x
2. Step 2: Convert to fraction form
   149.34/232.31 = 232.31/x
3. Step 3: Cross multiply
   149.34x = 232.31 × 232.31
4. Step 4: Simplify right side
   149.34x = 53,969.10
5. Step 5: Solve for x
   x = 53,969.10/149.34
6. Step 6: Final answer
   x = 361.38