Finding the Third Proportional to 109.88 and 237.38

Step by Step Solution

1. Step 1: Write the proportion equation
   109.88 : 237.38 = 237.38 : x
2. Step 2: Convert to fraction form
   109.88/237.38 = 237.38/x
3. Step 3: Cross multiply
   109.88x = 237.38 × 237.38
4. Step 4: Simplify right side
   109.88x = 56,346.89
5. Step 5: Solve for x
   x = 56,346.89/109.88
6. Step 6: Final answer
   x = 512.83