Finding the Third Proportional to 179.25 and 286.27

Step by Step Solution

1. Step 1: Write the proportion equation
   179.25 : 286.27 = 286.27 : x
2. Step 2: Convert to fraction form
   179.25/286.27 = 286.27/x
3. Step 3: Cross multiply
   179.25x = 286.27 × 286.27
4. Step 4: Simplify right side
   179.25x = 81,948.01
5. Step 5: Solve for x
   x = 81,948.01/179.25
6. Step 6: Final answer
   x = 457.17