Finding the Third Proportional to 109.31 and 269.06

Step by Step Solution

1. Step 1: Write the proportion equation
   109.31 : 269.06 = 269.06 : x
2. Step 2: Convert to fraction form
   109.31/269.06 = 269.06/x
3. Step 3: Cross multiply
   109.31x = 269.06 × 269.06
4. Step 4: Simplify right side
   109.31x = 72,394.63
5. Step 5: Solve for x
   x = 72,394.63/109.31
6. Step 6: Final answer
   x = 662.27