Finding the Third Proportional to 71.50 and 146.38

Step by Step Solution

1. Step 1: Write the proportion equation
   71.50 : 146.38 = 146.38 : x
2. Step 2: Convert to fraction form
   71.50/146.38 = 146.38/x
3. Step 3: Cross multiply
   71.50x = 146.38 × 146.38
4. Step 4: Simplify right side
   71.50x = 21,425.64
5. Step 5: Solve for x
   x = 21,425.64/71.50
6. Step 6: Final answer
   x = 299.66