Finding the Third Proportional to 259,891 and 388,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,891 : 388,757.50 = 388,757.50 : x
2. Step 2: Convert to fraction form
   259,891/388,757.50 = 388,757.50/x
3. Step 3: Cross multiply
   259,891x = 388,757.50 × 388,757.50
4. Step 4: Simplify right side
   259,891x = 151,132,393,806.25
5. Step 5: Solve for x
   x = 151,132,393,806.25/259,891
6. Step 6: Final answer
   x = 581,522.23