Finding the Third Proportional to 181,564 and 280,003

Step by Step Solution

1. Step 1: Write the proportion equation
   181,564 : 280,003 = 280,003 : x
2. Step 2: Convert to fraction form
   181,564/280,003 = 280,003/x
3. Step 3: Cross multiply
   181,564x = 280,003 × 280,003
4. Step 4: Simplify right side
   181,564x = 78,401,680,009
5. Step 5: Solve for x
   x = 78,401,680,009/181,564
6. Step 6: Final answer
   x = 431,812.91