Finding the Third Proportional to 71.02 and 149.48

Step by Step Solution

1. Step 1: Write the proportion equation
   71.02 : 149.48 = 149.48 : x
2. Step 2: Convert to fraction form
   71.02/149.48 = 149.48/x
3. Step 3: Cross multiply
   71.02x = 149.48 × 149.48
4. Step 4: Simplify right side
   71.02x = 22,345.58
5. Step 5: Solve for x
   x = 22,345.58/71.02
6. Step 6: Final answer
   x = 314.66