Finding the Third Proportional to 259,065 and 562,410

Step by Step Solution

1. Step 1: Write the proportion equation
   259,065 : 562,410 = 562,410 : x
2. Step 2: Convert to fraction form
   259,065/562,410 = 562,410/x
3. Step 3: Cross multiply
   259,065x = 562,410 × 562,410
4. Step 4: Simplify right side
   259,065x = 316,305,008,100
5. Step 5: Solve for x
   x = 316,305,008,100/259,065
6. Step 6: Final answer
   x = 1,220,948.44