Finding the Third Proportional to 199,726 and 280,928

Step by Step Solution

1. Step 1: Write the proportion equation
   199,726 : 280,928 = 280,928 : x
2. Step 2: Convert to fraction form
   199,726/280,928 = 280,928/x
3. Step 3: Cross multiply
   199,726x = 280,928 × 280,928
4. Step 4: Simplify right side
   199,726x = 78,920,541,184
5. Step 5: Solve for x
   x = 78,920,541,184/199,726
6. Step 6: Final answer
   x = 395,144.05