Finding the Third Proportional to 213,600 and 300,464

Step by Step Solution

1. Step 1: Write the proportion equation
   213,600 : 300,464 = 300,464 : x
2. Step 2: Convert to fraction form
   213,600/300,464 = 300,464/x
3. Step 3: Cross multiply
   213,600x = 300,464 × 300,464
4. Step 4: Simplify right side
   213,600x = 90,278,615,296
5. Step 5: Solve for x
   x = 90,278,615,296/213,600
6. Step 6: Final answer
   x = 422,652.69