Finding the Third Proportional to 511,827 and 774,790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,827 : 774,790.50 = 774,790.50 : x
2. Step 2: Convert to fraction form
   511,827/774,790.50 = 774,790.50/x
3. Step 3: Cross multiply
   511,827x = 774,790.50 × 774,790.50
4. Step 4: Simplify right side
   511,827x = 600,300,318,890.25
5. Step 5: Solve for x
   x = 600,300,318,890.25/511,827
6. Step 6: Final answer
   x = 1,172,857.86