Finding the Third Proportional to 120,667.50 and 259,830

Step by Step Solution

1. Step 1: Write the proportion equation
   120,667.50 : 259,830 = 259,830 : x
2. Step 2: Convert to fraction form
   120,667.50/259,830 = 259,830/x
3. Step 3: Cross multiply
   120,667.50x = 259,830 × 259,830
4. Step 4: Simplify right side
   120,667.50x = 67,511,628,900
5. Step 5: Solve for x
   x = 67,511,628,900/120,667.50
6. Step 6: Final answer
   x = 559,484.77