Finding the Third Proportional to 105,365 and 229,666

Step by Step Solution

1. Step 1: Write the proportion equation
   105,365 : 229,666 = 229,666 : x
2. Step 2: Convert to fraction form
   105,365/229,666 = 229,666/x
3. Step 3: Cross multiply
   105,365x = 229,666 × 229,666
4. Step 4: Simplify right side
   105,365x = 52,746,471,556
5. Step 5: Solve for x
   x = 52,746,471,556/105,365
6. Step 6: Final answer
   x = 500,607.14