Finding the Third Proportional to 162,648 and 253,808

Step by Step Solution

1. Step 1: Write the proportion equation
   162,648 : 253,808 = 253,808 : x
2. Step 2: Convert to fraction form
   162,648/253,808 = 253,808/x
3. Step 3: Cross multiply
   162,648x = 253,808 × 253,808
4. Step 4: Simplify right side
   162,648x = 64,418,500,864
5. Step 5: Solve for x
   x = 64,418,500,864/162,648
6. Step 6: Final answer
   x = 396,060.82