Finding the Third Proportional to 119,669 and 259,150

Step by Step Solution

1. Step 1: Write the proportion equation
   119,669 : 259,150 = 259,150 : x
2. Step 2: Convert to fraction form
   119,669/259,150 = 259,150/x
3. Step 3: Cross multiply
   119,669x = 259,150 × 259,150
4. Step 4: Simplify right side
   119,669x = 67,158,722,500
5. Step 5: Solve for x
   x = 67,158,722,500/119,669
6. Step 6: Final answer
   x = 561,204.01