Finding the Third Proportional to 175.69 and 229.38

Step by Step Solution

1. Step 1: Write the proportion equation
   175.69 : 229.38 = 229.38 : x
2. Step 2: Convert to fraction form
   175.69/229.38 = 229.38/x
3. Step 3: Cross multiply
   175.69x = 229.38 × 229.38
4. Step 4: Simplify right side
   175.69x = 52,612.89
5. Step 5: Solve for x
   x = 52,612.89/175.69
6. Step 6: Final answer
   x = 299.47