Finding the Third Proportional to 71.16 and 156.16

Step by Step Solution

1. Step 1: Write the proportion equation
   71.16 : 156.16 = 156.16 : x
2. Step 2: Convert to fraction form
   71.16/156.16 = 156.16/x
3. Step 3: Cross multiply
   71.16x = 156.16 × 156.16
4. Step 4: Simplify right side
   71.16x = 24,387.21
5. Step 5: Solve for x
   x = 24,387.21/71.16
6. Step 6: Final answer
   x = 342.73