Finding the Third Proportional to 103,680 and 225,799

Step by Step Solution

1. Step 1: Write the proportion equation
   103,680 : 225,799 = 225,799 : x
2. Step 2: Convert to fraction form
   103,680/225,799 = 225,799/x
3. Step 3: Cross multiply
   103,680x = 225,799 × 225,799
4. Step 4: Simplify right side
   103,680x = 50,985,188,401
5. Step 5: Solve for x
   x = 50,985,188,401/103,680
6. Step 6: Final answer
   x = 491,755.29