Finding the Third Proportional to 182.67 and 399.52

Step by Step Solution

1. Step 1: Write the proportion equation
   182.67 : 399.52 = 399.52 : x
2. Step 2: Convert to fraction form
   182.67/399.52 = 399.52/x
3. Step 3: Cross multiply
   182.67x = 399.52 × 399.52
4. Step 4: Simplify right side
   182.67x = 159,612.73
5. Step 5: Solve for x
   x = 159,612.73/182.67
6. Step 6: Final answer
   x = 873.77