Finding the Third Proportional to 109.06 and 237.31

Step by Step Solution

1. Step 1: Write the proportion equation
   109.06 : 237.31 = 237.31 : x
2. Step 2: Convert to fraction form
   109.06/237.31 = 237.31/x
3. Step 3: Cross multiply
   109.06x = 237.31 × 237.31
4. Step 4: Simplify right side
   109.06x = 56,317.22
5. Step 5: Solve for x
   x = 56,317.22/109.06
6. Step 6: Final answer
   x = 516.38