Finding the Third Proportional to 123.31 and 268.56

Step by Step Solution

1. Step 1: Write the proportion equation
   123.31 : 268.56 = 268.56 : x
2. Step 2: Convert to fraction form
   123.31/268.56 = 268.56/x
3. Step 3: Cross multiply
   123.31x = 268.56 × 268.56
4. Step 4: Simplify right side
   123.31x = 72,125.82
5. Step 5: Solve for x
   x = 72,125.82/123.31
6. Step 6: Final answer
   x = 584.90