Finding the Third Proportional to 519,488 and 777,139

Step by Step Solution

1. Step 1: Write the proportion equation
   519,488 : 777,139 = 777,139 : x
2. Step 2: Convert to fraction form
   519,488/777,139 = 777,139/x
3. Step 3: Cross multiply
   519,488x = 777,139 × 777,139
4. Step 4: Simplify right side
   519,488x = 603,945,025,321
5. Step 5: Solve for x
   x = 603,945,025,321/519,488
6. Step 6: Final answer
   x = 1,162,577.43