Finding the Third Proportional to 259,687.69 and 414,856.69

Step by Step Solution

1. Step 1: Write the proportion equation
   259,687.69 : 414,856.69 = 414,856.69 : x
2. Step 2: Convert to fraction form
   259,687.69/414,856.69 = 414,856.69/x
3. Step 3: Cross multiply
   259,687.69x = 414,856.69 × 414,856.69
4. Step 4: Simplify right side
   259,687.69x = 172,106,071,163.47
5. Step 5: Solve for x
   x = 172,106,071,163.47/259,687.69
6. Step 6: Final answer
   x = 662,742.52