Finding the Third Proportional to 162,832 and 259,026

Step by Step Solution

1. Step 1: Write the proportion equation
   162,832 : 259,026 = 259,026 : x
2. Step 2: Convert to fraction form
   162,832/259,026 = 259,026/x
3. Step 3: Cross multiply
   162,832x = 259,026 × 259,026
4. Step 4: Simplify right side
   162,832x = 67,094,468,676
5. Step 5: Solve for x
   x = 67,094,468,676/162,832
6. Step 6: Final answer
   x = 412,047.19