Finding the Third Proportional to 120,835.50 and 259,167

Step by Step Solution

1. Step 1: Write the proportion equation
   120,835.50 : 259,167 = 259,167 : x
2. Step 2: Convert to fraction form
   120,835.50/259,167 = 259,167/x
3. Step 3: Cross multiply
   120,835.50x = 259,167 × 259,167
4. Step 4: Simplify right side
   120,835.50x = 67,167,533,889
5. Step 5: Solve for x
   x = 67,167,533,889/120,835.50
6. Step 6: Final answer
   x = 555,859.28