Finding the Third Proportional to 145.69 and 298.13

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 298.13 = 298.13 : x
2. Step 2: Convert to fraction form
   145.69/298.13 = 298.13/x
3. Step 3: Cross multiply
   145.69x = 298.13 × 298.13
4. Step 4: Simplify right side
   145.69x = 88,878.52
5. Step 5: Solve for x
   x = 88,878.52/145.69
6. Step 6: Final answer
   x = 610.06