Finding the Third Proportional to 213,759 and 300,648

Step by Step Solution

1. Step 1: Write the proportion equation
   213,759 : 300,648 = 300,648 : x
2. Step 2: Convert to fraction form
   213,759/300,648 = 300,648/x
3. Step 3: Cross multiply
   213,759x = 300,648 × 300,648
4. Step 4: Simplify right side
   213,759x = 90,389,219,904
5. Step 5: Solve for x
   x = 90,389,219,904/213,759
6. Step 6: Final answer
   x = 422,855.74