Finding the Third Proportional to 323,442 and 463,142

Step by Step Solution

1. Step 1: Write the proportion equation
   323,442 : 463,142 = 463,142 : x
2. Step 2: Convert to fraction form
   323,442/463,142 = 463,142/x
3. Step 3: Cross multiply
   323,442x = 463,142 × 463,142
4. Step 4: Simplify right side
   323,442x = 214,500,512,164
5. Step 5: Solve for x
   x = 214,500,512,164/323,442
6. Step 6: Final answer
   x = 663,180.76