Finding the Third Proportional to 105,279.75 and 225,306.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,279.75 : 225,306.56 = 225,306.56 : x
2. Step 2: Convert to fraction form
   105,279.75/225,306.56 = 225,306.56/x
3. Step 3: Cross multiply
   105,279.75x = 225,306.56 × 225,306.56
4. Step 4: Simplify right side
   105,279.75x = 50,763,047,105.57
5. Step 5: Solve for x
   x = 50,763,047,105.57/105,279.75
6. Step 6: Final answer
   x = 482,172.94