Finding the Third Proportional to 145.69 and 175.22

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 175.22 = 175.22 : x
2. Step 2: Convert to fraction form
   145.69/175.22 = 175.22/x
3. Step 3: Cross multiply
   145.69x = 175.22 × 175.22
4. Step 4: Simplify right side
   145.69x = 30,701.61
5. Step 5: Solve for x
   x = 30,701.61/145.69
6. Step 6: Final answer
   x = 210.74