Finding the Third Proportional to 120,178.69 and 259,630.31

Step by Step Solution

1. Step 1: Write the proportion equation
   120,178.69 : 259,630.31 = 259,630.31 : x
2. Step 2: Convert to fraction form
   120,178.69/259,630.31 = 259,630.31/x
3. Step 3: Cross multiply
   120,178.69x = 259,630.31 × 259,630.31
4. Step 4: Simplify right side
   120,178.69x = 67,407,899,168.85
5. Step 5: Solve for x
   x = 67,407,899,168.85/120,178.69
6. Step 6: Final answer
   x = 560,897.28