Finding the Third Proportional to 36,978 and 78,868

Step by Step Solution

1. Step 1: Write the proportion equation
   36,978 : 78,868 = 78,868 : x
2. Step 2: Convert to fraction form
   36,978/78,868 = 78,868/x
3. Step 3: Cross multiply
   36,978x = 78,868 × 78,868
4. Step 4: Simplify right side
   36,978x = 6,220,161,424
5. Step 5: Solve for x
   x = 6,220,161,424/36,978
6. Step 6: Final answer
   x = 168,212.49