Finding the Third Proportional to 511,857 and 802,882.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,857 : 802,882.50 = 802,882.50 : x
2. Step 2: Convert to fraction form
   511,857/802,882.50 = 802,882.50/x
3. Step 3: Cross multiply
   511,857x = 802,882.50 × 802,882.50
4. Step 4: Simplify right side
   511,857x = 644,620,308,806.25
5. Step 5: Solve for x
   x = 644,620,308,806.25/511,857
6. Step 6: Final answer
   x = 1,259,375.78