Finding the Third Proportional to 262,287.75 and 384,825

Step by Step Solution

1. Step 1: Write the proportion equation
   262,287.75 : 384,825 = 384,825 : x
2. Step 2: Convert to fraction form
   262,287.75/384,825 = 384,825/x
3. Step 3: Cross multiply
   262,287.75x = 384,825 × 384,825
4. Step 4: Simplify right side
   262,287.75x = 148,090,280,625
5. Step 5: Solve for x
   x = 148,090,280,625/262,287.75
6. Step 6: Final answer
   x = 564,609.98