Finding the Third Proportional to 109.38 and 155.94

Step by Step Solution

1. Step 1: Write the proportion equation
   109.38 : 155.94 = 155.94 : x
2. Step 2: Convert to fraction form
   109.38/155.94 = 155.94/x
3. Step 3: Cross multiply
   109.38x = 155.94 × 155.94
4. Step 4: Simplify right side
   109.38x = 24,316.50
5. Step 5: Solve for x
   x = 24,316.50/109.38
6. Step 6: Final answer
   x = 222.32