Finding the Third Proportional to 112.94 and 269.38

Step by Step Solution

1. Step 1: Write the proportion equation
   112.94 : 269.38 = 269.38 : x
2. Step 2: Convert to fraction form
   112.94/269.38 = 269.38/x
3. Step 3: Cross multiply
   112.94x = 269.38 × 269.38
4. Step 4: Simplify right side
   112.94x = 72,562.89
5. Step 5: Solve for x
   x = 72,562.89/112.94
6. Step 6: Final answer
   x = 642.50