Finding the Third Proportional to 71.38 and 155.63

Step by Step Solution

1. Step 1: Write the proportion equation
   71.38 : 155.63 = 155.63 : x
2. Step 2: Convert to fraction form
   71.38/155.63 = 155.63/x
3. Step 3: Cross multiply
   71.38x = 155.63 × 155.63
4. Step 4: Simplify right side
   71.38x = 24,219.14
5. Step 5: Solve for x
   x = 24,219.14/71.38
6. Step 6: Final answer
   x = 339.32