Finding the Third Proportional to 259,677 and 388,477.69

Step by Step Solution

1. Step 1: Write the proportion equation
   259,677 : 388,477.69 = 388,477.69 : x
2. Step 2: Convert to fraction form
   259,677/388,477.69 = 388,477.69/x
3. Step 3: Cross multiply
   259,677x = 388,477.69 × 388,477.69
4. Step 4: Simplify right side
   259,677x = 150,914,913,685.35
5. Step 5: Solve for x
   x = 150,914,913,685.35/259,677
6. Step 6: Final answer
   x = 581,163.96