Finding the Third Proportional to 149.31 and 325.56

Step by Step Solution

1. Step 1: Write the proportion equation
   149.31 : 325.56 = 325.56 : x
2. Step 2: Convert to fraction form
   149.31/325.56 = 325.56/x
3. Step 3: Cross multiply
   149.31x = 325.56 × 325.56
4. Step 4: Simplify right side
   149.31x = 105,990.94
5. Step 5: Solve for x
   x = 105,990.94/149.31
6. Step 6: Final answer
   x = 709.86