Finding the Third Proportional to 250,686 and 511,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   250,686 : 511,087.50 = 511,087.50 : x
2. Step 2: Convert to fraction form
   250,686/511,087.50 = 511,087.50/x
3. Step 3: Cross multiply
   250,686x = 511,087.50 × 511,087.50
4. Step 4: Simplify right side
   250,686x = 261,210,432,656.25
5. Step 5: Solve for x
   x = 261,210,432,656.25/250,686
6. Step 6: Final answer
   x = 1,041,982.53