Finding the Third Proportional to 120,834 and 259,164

Step by Step Solution

1. Step 1: Write the proportion equation
   120,834 : 259,164 = 259,164 : x
2. Step 2: Convert to fraction form
   120,834/259,164 = 259,164/x
3. Step 3: Cross multiply
   120,834x = 259,164 × 259,164
4. Step 4: Simplify right side
   120,834x = 67,165,978,896
5. Step 5: Solve for x
   x = 67,165,978,896/120,834
6. Step 6: Final answer
   x = 555,853.31