Finding the Third Proportional to 175.38 and 414.69

Step by Step Solution

1. Step 1: Write the proportion equation
   175.38 : 414.69 = 414.69 : x
2. Step 2: Convert to fraction form
   175.38/414.69 = 414.69/x
3. Step 3: Cross multiply
   175.38x = 414.69 × 414.69
4. Step 4: Simplify right side
   175.38x = 171,965.72
5. Step 5: Solve for x
   x = 171,965.72/175.38
6. Step 6: Final answer
   x = 980.56