Finding the Third Proportional to 262,724 and 384,766

Step by Step Solution

1. Step 1: Write the proportion equation
   262,724 : 384,766 = 384,766 : x
2. Step 2: Convert to fraction form
   262,724/384,766 = 384,766/x
3. Step 3: Cross multiply
   262,724x = 384,766 × 384,766
4. Step 4: Simplify right side
   262,724x = 148,044,874,756
5. Step 5: Solve for x
   x = 148,044,874,756/262,724
6. Step 6: Final answer
   x = 563,499.62