Finding the Third Proportional to 179.80 and 287.72

Step by Step Solution

1. Step 1: Write the proportion equation
   179.80 : 287.72 = 287.72 : x
2. Step 2: Convert to fraction form
   179.80/287.72 = 287.72/x
3. Step 3: Cross multiply
   179.80x = 287.72 × 287.72
4. Step 4: Simplify right side
   179.80x = 82,785.40
5. Step 5: Solve for x
   x = 82,785.40/179.80
6. Step 6: Final answer
   x = 460.42