Finding the Third Proportional to 105,345 and 231,298

Step by Step Solution

1. Step 1: Write the proportion equation
   105,345 : 231,298 = 231,298 : x
2. Step 2: Convert to fraction form
   105,345/231,298 = 231,298/x
3. Step 3: Cross multiply
   105,345x = 231,298 × 231,298
4. Step 4: Simplify right side
   105,345x = 53,498,764,804
5. Step 5: Solve for x
   x = 53,498,764,804/105,345
6. Step 6: Final answer
   x = 507,843.42