Finding the Third Proportional to 227,783 and 334,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,783 : 334,270.50 = 334,270.50 : x
2. Step 2: Convert to fraction form
   227,783/334,270.50 = 334,270.50/x
3. Step 3: Cross multiply
   227,783x = 334,270.50 × 334,270.50
4. Step 4: Simplify right side
   227,783x = 111,736,767,170.25
5. Step 5: Solve for x
   x = 111,736,767,170.25/227,783
6. Step 6: Final answer
   x = 490,540.41