Finding the Third Proportional to 120,835 and 259,166

Step by Step Solution

1. Step 1: Write the proportion equation
   120,835 : 259,166 = 259,166 : x
2. Step 2: Convert to fraction form
   120,835/259,166 = 259,166/x
3. Step 3: Cross multiply
   120,835x = 259,166 × 259,166
4. Step 4: Simplify right side
   120,835x = 67,167,015,556
5. Step 5: Solve for x
   x = 67,167,015,556/120,835
6. Step 6: Final answer
   x = 555,857.29