Finding the Third Proportional to 225,578 and 317,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,578 : 317,383.50 = 317,383.50 : x
2. Step 2: Convert to fraction form
   225,578/317,383.50 = 317,383.50/x
3. Step 3: Cross multiply
   225,578x = 317,383.50 × 317,383.50
4. Step 4: Simplify right side
   225,578x = 100,732,286,072.25
5. Step 5: Solve for x
   x = 100,732,286,072.25/225,578
6. Step 6: Final answer
   x = 446,551.91