Finding the Third Proportional to 162,993 and 259,353

Step by Step Solution

1. Step 1: Write the proportion equation
   162,993 : 259,353 = 259,353 : x
2. Step 2: Convert to fraction form
   162,993/259,353 = 259,353/x
3. Step 3: Cross multiply
   162,993x = 259,353 × 259,353
4. Step 4: Simplify right side
   162,993x = 67,263,978,609
5. Step 5: Solve for x
   x = 67,263,978,609/162,993
6. Step 6: Final answer
   x = 412,680.17