Finding the Third Proportional to 262,467 and 383,856

Step by Step Solution

1. Step 1: Write the proportion equation
   262,467 : 383,856 = 383,856 : x
2. Step 2: Convert to fraction form
   262,467/383,856 = 383,856/x
3. Step 3: Cross multiply
   262,467x = 383,856 × 383,856
4. Step 4: Simplify right side
   262,467x = 147,345,428,736
5. Step 5: Solve for x
   x = 147,345,428,736/262,467
6. Step 6: Final answer
   x = 561,386.49