Finding the Third Proportional to 280,116 and 419,184

Step by Step Solution

1. Step 1: Write the proportion equation
   280,116 : 419,184 = 419,184 : x
2. Step 2: Convert to fraction form
   280,116/419,184 = 419,184/x
3. Step 3: Cross multiply
   280,116x = 419,184 × 419,184
4. Step 4: Simplify right side
   280,116x = 175,715,225,856
5. Step 5: Solve for x
   x = 175,715,225,856/280,116
6. Step 6: Final answer
   x = 627,294.50