Finding the Third Proportional to 105,238 and 230,848

Step by Step Solution

1. Step 1: Write the proportion equation
   105,238 : 230,848 = 230,848 : x
2. Step 2: Convert to fraction form
   105,238/230,848 = 230,848/x
3. Step 3: Cross multiply
   105,238x = 230,848 × 230,848
4. Step 4: Simplify right side
   105,238x = 53,290,799,104
5. Step 5: Solve for x
   x = 53,290,799,104/105,238
6. Step 6: Final answer
   x = 506,383.62