Finding the Third Proportional to 105,760 and 230,456

Step by Step Solution

1. Step 1: Write the proportion equation
   105,760 : 230,456 = 230,456 : x
2. Step 2: Convert to fraction form
   105,760/230,456 = 230,456/x
3. Step 3: Cross multiply
   105,760x = 230,456 × 230,456
4. Step 4: Simplify right side
   105,760x = 53,109,967,936
5. Step 5: Solve for x
   x = 53,109,967,936/105,760
6. Step 6: Final answer
   x = 502,174.43