Finding the Third Proportional to 516,780 and 775,711.69

Step by Step Solution

1. Step 1: Write the proportion equation
   516,780 : 775,711.69 = 775,711.69 : x
2. Step 2: Convert to fraction form
   516,780/775,711.69 = 775,711.69/x
3. Step 3: Cross multiply
   516,780x = 775,711.69 × 775,711.69
4. Step 4: Simplify right side
   516,780x = 601,728,622,124.10
5. Step 5: Solve for x
   x = 601,728,622,124.10/516,780
6. Step 6: Final answer
   x = 1,164,380.63