Finding the Third Proportional to 175.94 and 269.56

Step by Step Solution

1. Step 1: Write the proportion equation
   175.94 : 269.56 = 269.56 : x
2. Step 2: Convert to fraction form
   175.94/269.56 = 269.56/x
3. Step 3: Cross multiply
   175.94x = 269.56 × 269.56
4. Step 4: Simplify right side
   175.94x = 72,663.94
5. Step 5: Solve for x
   x = 72,663.94/175.94
6. Step 6: Final answer
   x = 413.01