Finding the Third Proportional to 120,848 and 259,196

Step by Step Solution

1. Step 1: Write the proportion equation
   120,848 : 259,196 = 259,196 : x
2. Step 2: Convert to fraction form
   120,848/259,196 = 259,196/x
3. Step 3: Cross multiply
   120,848x = 259,196 × 259,196
4. Step 4: Simplify right side
   120,848x = 67,182,566,416
5. Step 5: Solve for x
   x = 67,182,566,416/120,848
6. Step 6: Final answer
   x = 555,926.18