Finding the Third Proportional to 145.69 and 340.45

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 340.45 = 340.45 : x
2. Step 2: Convert to fraction form
   145.69/340.45 = 340.45/x
3. Step 3: Cross multiply
   145.69x = 340.45 × 340.45
4. Step 4: Simplify right side
   145.69x = 115,908.33
5. Step 5: Solve for x
   x = 115,908.33/145.69
6. Step 6: Final answer
   x = 795.60