Finding the Third Proportional to 145.75 and 380.38

Step by Step Solution

1. Step 1: Write the proportion equation
   145.75 : 380.38 = 380.38 : x
2. Step 2: Convert to fraction form
   145.75/380.38 = 380.38/x
3. Step 3: Cross multiply
   145.75x = 380.38 × 380.38
4. Step 4: Simplify right side
   145.75x = 144,685.14
5. Step 5: Solve for x
   x = 144,685.14/145.75
6. Step 6: Final answer
   x = 992.69