Finding the Third Proportional to 182,568 and 280,500

Step by Step Solution

1. Step 1: Write the proportion equation
   182,568 : 280,500 = 280,500 : x
2. Step 2: Convert to fraction form
   182,568/280,500 = 280,500/x
3. Step 3: Cross multiply
   182,568x = 280,500 × 280,500
4. Step 4: Simplify right side
   182,568x = 78,680,250,000
5. Step 5: Solve for x
   x = 78,680,250,000/182,568
6. Step 6: Final answer
   x = 430,964.08