Finding the Third Proportional to 259,848 and 561,144

Step by Step Solution

1. Step 1: Write the proportion equation
   259,848 : 561,144 = 561,144 : x
2. Step 2: Convert to fraction form
   259,848/561,144 = 561,144/x
3. Step 3: Cross multiply
   259,848x = 561,144 × 561,144
4. Step 4: Simplify right side
   259,848x = 314,882,588,736
5. Step 5: Solve for x
   x = 314,882,588,736/259,848
6. Step 6: Final answer
   x = 1,211,795.31