Finding the Third Proportional to 263,545.50 and 577,878

Step by Step Solution

1. Step 1: Write the proportion equation
   263,545.50 : 577,878 = 577,878 : x
2. Step 2: Convert to fraction form
   263,545.50/577,878 = 577,878/x
3. Step 3: Cross multiply
   263,545.50x = 577,878 × 577,878
4. Step 4: Simplify right side
   263,545.50x = 333,942,982,884
5. Step 5: Solve for x
   x = 333,942,982,884/263,545.50
6. Step 6: Final answer
   x = 1,267,117.00