Finding the Third Proportional to 148.50 and 227.06

Step by Step Solution

1. Step 1: Write the proportion equation
   148.50 : 227.06 = 227.06 : x
2. Step 2: Convert to fraction form
   148.50/227.06 = 227.06/x
3. Step 3: Cross multiply
   148.50x = 227.06 × 227.06
4. Step 4: Simplify right side
   148.50x = 51,557.38
5. Step 5: Solve for x
   x = 51,557.38/148.50
6. Step 6: Final answer
   x = 347.19