Finding the Third Proportional to 216,839 and 333,714

Step by Step Solution

1. Step 1: Write the proportion equation
   216,839 : 333,714 = 333,714 : x
2. Step 2: Convert to fraction form
   216,839/333,714 = 333,714/x
3. Step 3: Cross multiply
   216,839x = 333,714 × 333,714
4. Step 4: Simplify right side
   216,839x = 111,365,033,796
5. Step 5: Solve for x
   x = 111,365,033,796/216,839
6. Step 6: Final answer
   x = 513,583.97