Finding the Third Proportional to 181,566 and 280,008

Step by Step Solution

1. Step 1: Write the proportion equation
   181,566 : 280,008 = 280,008 : x
2. Step 2: Convert to fraction form
   181,566/280,008 = 280,008/x
3. Step 3: Cross multiply
   181,566x = 280,008 × 280,008
4. Step 4: Simplify right side
   181,566x = 78,404,480,064
5. Step 5: Solve for x
   x = 78,404,480,064/181,566
6. Step 6: Final answer
   x = 431,823.58