Finding the Third Proportional to 267,927 and 363,870

Step by Step Solution

1. Step 1: Write the proportion equation
   267,927 : 363,870 = 363,870 : x
2. Step 2: Convert to fraction form
   267,927/363,870 = 363,870/x
3. Step 3: Cross multiply
   267,927x = 363,870 × 363,870
4. Step 4: Simplify right side
   267,927x = 132,401,376,900
5. Step 5: Solve for x
   x = 132,401,376,900/267,927
6. Step 6: Final answer
   x = 494,169.59