Finding the Third Proportional to 120,855.50 and 259,201

Step by Step Solution

1. Step 1: Write the proportion equation
   120,855.50 : 259,201 = 259,201 : x
2. Step 2: Convert to fraction form
   120,855.50/259,201 = 259,201/x
3. Step 3: Cross multiply
   120,855.50x = 259,201 × 259,201
4. Step 4: Simplify right side
   120,855.50x = 67,185,158,401
5. Step 5: Solve for x
   x = 67,185,158,401/120,855.50
6. Step 6: Final answer
   x = 555,913.12