Finding the Third Proportional to 105,738.75 and 229,007.25

Step by Step Solution

1. Step 1: Write the proportion equation
   105,738.75 : 229,007.25 = 229,007.25 : x
2. Step 2: Convert to fraction form
   105,738.75/229,007.25 = 229,007.25/x
3. Step 3: Cross multiply
   105,738.75x = 229,007.25 × 229,007.25
4. Step 4: Simplify right side
   105,738.75x = 52,444,320,552.56
5. Step 5: Solve for x
   x = 52,444,320,552.56/105,738.75
6. Step 6: Final answer
   x = 495,980.14