Finding the Third Proportional to 119,666 and 259,144

Step by Step Solution

1. Step 1: Write the proportion equation
   119,666 : 259,144 = 259,144 : x
2. Step 2: Convert to fraction form
   119,666/259,144 = 259,144/x
3. Step 3: Cross multiply
   119,666x = 259,144 × 259,144
4. Step 4: Simplify right side
   119,666x = 67,155,612,736
5. Step 5: Solve for x
   x = 67,155,612,736/119,666
6. Step 6: Final answer
   x = 561,192.09