Finding the Third Proportional to 162,510 and 259,507

Step by Step Solution

1. Step 1: Write the proportion equation
   162,510 : 259,507 = 259,507 : x
2. Step 2: Convert to fraction form
   162,510/259,507 = 259,507/x
3. Step 3: Cross multiply
   162,510x = 259,507 × 259,507
4. Step 4: Simplify right side
   162,510x = 67,343,883,049
5. Step 5: Solve for x
   x = 67,343,883,049/162,510
6. Step 6: Final answer
   x = 414,398.39