Finding the Third Proportional to 262,720 and 384,760

Step by Step Solution

1. Step 1: Write the proportion equation
   262,720 : 384,760 = 384,760 : x
2. Step 2: Convert to fraction form
   262,720/384,760 = 384,760/x
3. Step 3: Cross multiply
   262,720x = 384,760 × 384,760
4. Step 4: Simplify right side
   262,720x = 148,040,257,600
5. Step 5: Solve for x
   x = 148,040,257,600/262,720
6. Step 6: Final answer
   x = 563,490.63