Finding the Third Proportional to 350,684 and 501,441

Step by Step Solution

1. Step 1: Write the proportion equation
   350,684 : 501,441 = 501,441 : x
2. Step 2: Convert to fraction form
   350,684/501,441 = 501,441/x
3. Step 3: Cross multiply
   350,684x = 501,441 × 501,441
4. Step 4: Simplify right side
   350,684x = 251,443,076,481
5. Step 5: Solve for x
   x = 251,443,076,481/350,684
6. Step 6: Final answer
   x = 717,007.55