Finding the Third Proportional to 105,939.50 and 228,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,939.50 : 228,684.50 = 228,684.50 : x
2. Step 2: Convert to fraction form
   105,939.50/228,684.50 = 228,684.50/x
3. Step 3: Cross multiply
   105,939.50x = 228,684.50 × 228,684.50
4. Step 4: Simplify right side
   105,939.50x = 52,296,600,540.25
5. Step 5: Solve for x
   x = 52,296,600,540.25/105,939.50
6. Step 6: Final answer
   x = 493,645.91