Finding the Third Proportional to 786,978 and 1,189,827

Step by Step Solution

1. Step 1: Write the proportion equation
   786,978 : 1,189,827 = 1,189,827 : x
2. Step 2: Convert to fraction form
   786,978/1,189,827 = 1,189,827/x
3. Step 3: Cross multiply
   786,978x = 1,189,827 × 1,189,827
4. Step 4: Simplify right side
   786,978x = 1,415,688,289,929
5. Step 5: Solve for x
   x = 1,415,688,289,929/786,978
6. Step 6: Final answer
   x = 1,798,891.82