Finding the Third Proportional to 519,384 and 777,012

Step by Step Solution

1. Step 1: Write the proportion equation
   519,384 : 777,012 = 777,012 : x
2. Step 2: Convert to fraction form
   519,384/777,012 = 777,012/x
3. Step 3: Cross multiply
   519,384x = 777,012 × 777,012
4. Step 4: Simplify right side
   519,384x = 603,747,648,144
5. Step 5: Solve for x
   x = 603,747,648,144/519,384
6. Step 6: Final answer
   x = 1,162,430.20