Finding the Third Proportional to 148.50 and 325.31

Step by Step Solution

1. Step 1: Write the proportion equation
   148.50 : 325.31 = 325.31 : x
2. Step 2: Convert to fraction form
   148.50/325.31 = 325.31/x
3. Step 3: Cross multiply
   148.50x = 325.31 × 325.31
4. Step 4: Simplify right side
   148.50x = 105,828.22
5. Step 5: Solve for x
   x = 105,828.22/148.50
6. Step 6: Final answer
   x = 712.65