Finding the Third Proportional to 176,996 and 280,404

Step by Step Solution

1. Step 1: Write the proportion equation
   176,996 : 280,404 = 280,404 : x
2. Step 2: Convert to fraction form
   176,996/280,404 = 280,404/x
3. Step 3: Cross multiply
   176,996x = 280,404 × 280,404
4. Step 4: Simplify right side
   176,996x = 78,626,403,216
5. Step 5: Solve for x
   x = 78,626,403,216/176,996
6. Step 6: Final answer
   x = 444,227.01