Finding the Third Proportional to 175.69 and 374.25

Step by Step Solution

1. Step 1: Write the proportion equation
   175.69 : 374.25 = 374.25 : x
2. Step 2: Convert to fraction form
   175.69/374.25 = 374.25/x
3. Step 3: Cross multiply
   175.69x = 374.25 × 374.25
4. Step 4: Simplify right side
   175.69x = 140,063.06
5. Step 5: Solve for x
   x = 140,063.06/175.69
6. Step 6: Final answer
   x = 797.23