Finding the Third Proportional to 51,978 and 78,783

Step by Step Solution

1. Step 1: Write the proportion equation
   51,978 : 78,783 = 78,783 : x
2. Step 2: Convert to fraction form
   51,978/78,783 = 78,783/x
3. Step 3: Cross multiply
   51,978x = 78,783 × 78,783
4. Step 4: Simplify right side
   51,978x = 6,206,761,089
5. Step 5: Solve for x
   x = 6,206,761,089/51,978
6. Step 6: Final answer
   x = 119,411.31