Finding the Third Proportional to 105,084 and 230,607

Step by Step Solution

1. Step 1: Write the proportion equation
   105,084 : 230,607 = 230,607 : x
2. Step 2: Convert to fraction form
   105,084/230,607 = 230,607/x
3. Step 3: Cross multiply
   105,084x = 230,607 × 230,607
4. Step 4: Simplify right side
   105,084x = 53,179,588,449
5. Step 5: Solve for x
   x = 53,179,588,449/105,084
6. Step 6: Final answer
   x = 506,067.42