Finding the Third Proportional to 36,978 and 80,868

Step by Step Solution

1. Step 1: Write the proportion equation
   36,978 : 80,868 = 80,868 : x
2. Step 2: Convert to fraction form
   36,978/80,868 = 80,868/x
3. Step 3: Cross multiply
   36,978x = 80,868 × 80,868
4. Step 4: Simplify right side
   36,978x = 6,539,633,424
5. Step 5: Solve for x
   x = 6,539,633,424/36,978
6. Step 6: Final answer
   x = 176,852.00