Finding the Third Proportional to 120,838.50 and 259,173

Step by Step Solution

1. Step 1: Write the proportion equation
   120,838.50 : 259,173 = 259,173 : x
2. Step 2: Convert to fraction form
   120,838.50/259,173 = 259,173/x
3. Step 3: Cross multiply
   120,838.50x = 259,173 × 259,173
4. Step 4: Simplify right side
   120,838.50x = 67,170,643,929
5. Step 5: Solve for x
   x = 67,170,643,929/120,838.50
6. Step 6: Final answer
   x = 555,871.22