Finding the Third Proportional to 162,512 and 259,510

Step by Step Solution

1. Step 1: Write the proportion equation
   162,512 : 259,510 = 259,510 : x
2. Step 2: Convert to fraction form
   162,512/259,510 = 259,510/x
3. Step 3: Cross multiply
   162,512x = 259,510 × 259,510
4. Step 4: Simplify right side
   162,512x = 67,345,440,100
5. Step 5: Solve for x
   x = 67,345,440,100/162,512
6. Step 6: Final answer
   x = 414,402.88