Finding the Third Proportional to 262,656 and 384,666

Step by Step Solution

1. Step 1: Write the proportion equation
   262,656 : 384,666 = 384,666 : x
2. Step 2: Convert to fraction form
   262,656/384,666 = 384,666/x
3. Step 3: Cross multiply
   262,656x = 384,666 × 384,666
4. Step 4: Simplify right side
   262,656x = 147,967,931,556
5. Step 5: Solve for x
   x = 147,967,931,556/262,656
6. Step 6: Final answer
   x = 563,352.57