Finding the Third Proportional to 213,424 and 463,024

Step by Step Solution

1. Step 1: Write the proportion equation
   213,424 : 463,024 = 463,024 : x
2. Step 2: Convert to fraction form
   213,424/463,024 = 463,024/x
3. Step 3: Cross multiply
   213,424x = 463,024 × 463,024
4. Step 4: Simplify right side
   213,424x = 214,391,224,576
5. Step 5: Solve for x
   x = 214,391,224,576/213,424
6. Step 6: Final answer
   x = 1,004,531.94