Finding the Third Proportional to 71.01 and 147.54

Step by Step Solution

1. Step 1: Write the proportion equation
   71.01 : 147.54 = 147.54 : x
2. Step 2: Convert to fraction form
   71.01/147.54 = 147.54/x
3. Step 3: Cross multiply
   71.01x = 147.54 × 147.54
4. Step 4: Simplify right side
   71.01x = 21,769.29
5. Step 5: Solve for x
   x = 21,769.29/71.01
6. Step 6: Final answer
   x = 306.55