Finding the Third Proportional to 80,178 and 142,860

Step by Step Solution

1. Step 1: Write the proportion equation
   80,178 : 142,860 = 142,860 : x
2. Step 2: Convert to fraction form
   80,178/142,860 = 142,860/x
3. Step 3: Cross multiply
   80,178x = 142,860 × 142,860
4. Step 4: Simplify right side
   80,178x = 20,408,979,600
5. Step 5: Solve for x
   x = 20,408,979,600/80,178
6. Step 6: Final answer
   x = 254,545.88