Finding the Third Proportional to 105,846.50 and 228,757

Step by Step Solution

1. Step 1: Write the proportion equation
   105,846.50 : 228,757 = 228,757 : x
2. Step 2: Convert to fraction form
   105,846.50/228,757 = 228,757/x
3. Step 3: Cross multiply
   105,846.50x = 228,757 × 228,757
4. Step 4: Simplify right side
   105,846.50x = 52,329,765,049
5. Step 5: Solve for x
   x = 52,329,765,049/105,846.50
6. Step 6: Final answer
   x = 494,392.97