Finding the Third Proportional to 191,578 and 281,799

Step by Step Solution

1. Step 1: Write the proportion equation
   191,578 : 281,799 = 281,799 : x
2. Step 2: Convert to fraction form
   191,578/281,799 = 281,799/x
3. Step 3: Cross multiply
   191,578x = 281,799 × 281,799
4. Step 4: Simplify right side
   191,578x = 79,410,676,401
5. Step 5: Solve for x
   x = 79,410,676,401/191,578
6. Step 6: Final answer
   x = 414,508.33