Finding the Third Proportional to 259,836 and 586,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,836 : 586,882.50 = 586,882.50 : x
2. Step 2: Convert to fraction form
   259,836/586,882.50 = 586,882.50/x
3. Step 3: Cross multiply
   259,836x = 586,882.50 × 586,882.50
4. Step 4: Simplify right side
   259,836x = 344,431,068,806.25
5. Step 5: Solve for x
   x = 344,431,068,806.25/259,836
6. Step 6: Final answer
   x = 1,325,571.01