Finding the Third Proportional to 119,384 and 259,856

Step by Step Solution

1. Step 1: Write the proportion equation
   119,384 : 259,856 = 259,856 : x
2. Step 2: Convert to fraction form
   119,384/259,856 = 259,856/x
3. Step 3: Cross multiply
   119,384x = 259,856 × 259,856
4. Step 4: Simplify right side
   119,384x = 67,525,140,736
5. Step 5: Solve for x
   x = 67,525,140,736/119,384
6. Step 6: Final answer
   x = 565,612.99