Finding the Third Proportional to 124.31 and 182.81

Step by Step Solution

1. Step 1: Write the proportion equation
   124.31 : 182.81 = 182.81 : x
2. Step 2: Convert to fraction form
   124.31/182.81 = 182.81/x
3. Step 3: Cross multiply
   124.31x = 182.81 × 182.81
4. Step 4: Simplify right side
   124.31x = 33,420.41
5. Step 5: Solve for x
   x = 33,420.41/124.31
6. Step 6: Final answer
   x = 268.84