Finding the Third Proportional to 146,996 and 322,018

Step by Step Solution

1. Step 1: Write the proportion equation
   146,996 : 322,018 = 322,018 : x
2. Step 2: Convert to fraction form
   146,996/322,018 = 322,018/x
3. Step 3: Cross multiply
   146,996x = 322,018 × 322,018
4. Step 4: Simplify right side
   146,996x = 103,695,592,324
5. Step 5: Solve for x
   x = 103,695,592,324/146,996
6. Step 6: Final answer
   x = 705,431.39