Finding the Third Proportional to 511,282 and 777,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   511,282 : 777,545.50 = 777,545.50 : x
2. Step 2: Convert to fraction form
   511,282/777,545.50 = 777,545.50/x
3. Step 3: Cross multiply
   511,282x = 777,545.50 × 777,545.50
4. Step 4: Simplify right side
   511,282x = 604,577,004,570.25
5. Step 5: Solve for x
   x = 604,577,004,570.25/511,282
6. Step 6: Final answer
   x = 1,182,472.70