Finding the Third Proportional to 105,736.50 and 229,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736.50 : 229,003.50 = 229,003.50 : x
2. Step 2: Convert to fraction form
   105,736.50/229,003.50 = 229,003.50/x
3. Step 3: Cross multiply
   105,736.50x = 229,003.50 × 229,003.50
4. Step 4: Simplify right side
   105,736.50x = 52,442,603,012.25
5. Step 5: Solve for x
   x = 52,442,603,012.25/105,736.50
6. Step 6: Final answer
   x = 495,974.46