Finding the Third Proportional to 109.38 and 156.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109.38 : 156.38 = 156.38 : x
2. Step 2: Convert to fraction form
   109.38/156.38 = 156.38/x
3. Step 3: Cross multiply
   109.38x = 156.38 × 156.38
4. Step 4: Simplify right side
   109.38x = 24,453.14
5. Step 5: Solve for x
   x = 24,453.14/109.38
6. Step 6: Final answer
   x = 223.57