Finding the Third Proportional to 145.69 and 383.34

Step by Step Solution

1. Step 1: Write the proportion equation
   145.69 : 383.34 = 383.34 : x
2. Step 2: Convert to fraction form
   145.69/383.34 = 383.34/x
3. Step 3: Cross multiply
   145.69x = 383.34 × 383.34
4. Step 4: Simplify right side
   145.69x = 146,952.43
5. Step 5: Solve for x
   x = 146,952.43/145.69
6. Step 6: Final answer
   x = 1,008.68