Finding the Third Proportional to 280,468 and 377,910

Step by Step Solution

1. Step 1: Write the proportion equation
   280,468 : 377,910 = 377,910 : x
2. Step 2: Convert to fraction form
   280,468/377,910 = 377,910/x
3. Step 3: Cross multiply
   280,468x = 377,910 × 377,910
4. Step 4: Simplify right side
   280,468x = 142,815,968,100
5. Step 5: Solve for x
   x = 142,815,968,100/280,468
6. Step 6: Final answer
   x = 509,205.93