Finding the Third Proportional to 105,236 and 230,846

Step by Step Solution

1. Step 1: Write the proportion equation
   105,236 : 230,846 = 230,846 : x
2. Step 2: Convert to fraction form
   105,236/230,846 = 230,846/x
3. Step 3: Cross multiply
   105,236x = 230,846 × 230,846
4. Step 4: Simplify right side
   105,236x = 53,289,875,716
5. Step 5: Solve for x
   x = 53,289,875,716/105,236
6. Step 6: Final answer
   x = 506,384.47