Finding the Third Proportional to 259,002.50 and 400,007.75

Step by Step Solution

1. Step 1: Write the proportion equation
   259,002.50 : 400,007.75 = 400,007.75 : x
2. Step 2: Convert to fraction form
   259,002.50/400,007.75 = 400,007.75/x
3. Step 3: Cross multiply
   259,002.50x = 400,007.75 × 400,007.75
4. Step 4: Simplify right side
   259,002.50x = 160,006,200,060.06
5. Step 5: Solve for x
   x = 160,006,200,060.06/259,002.50
6. Step 6: Final answer
   x = 617,778.59