Finding the Third Proportional to 182.84 and 238.43

Step by Step Solution

1. Step 1: Write the proportion equation
   182.84 : 238.43 = 238.43 : x
2. Step 2: Convert to fraction form
   182.84/238.43 = 238.43/x
3. Step 3: Cross multiply
   182.84x = 238.43 × 238.43
4. Step 4: Simplify right side
   182.84x = 56,849.76
5. Step 5: Solve for x
   x = 56,849.76/182.84
6. Step 6: Final answer
   x = 310.92