Finding the Third Proportional to 120,825 and 259,143

Step by Step Solution

1. Step 1: Write the proportion equation
   120,825 : 259,143 = 259,143 : x
2. Step 2: Convert to fraction form
   120,825/259,143 = 259,143/x
3. Step 3: Cross multiply
   120,825x = 259,143 × 259,143
4. Step 4: Simplify right side
   120,825x = 67,155,094,449
5. Step 5: Solve for x
   x = 67,155,094,449/120,825
6. Step 6: Final answer
   x = 555,804.63