Finding the Third Proportional to 50,684 and 78,018

Step by Step Solution

1. Step 1: Write the proportion equation
   50,684 : 78,018 = 78,018 : x
2. Step 2: Convert to fraction form
   50,684/78,018 = 78,018/x
3. Step 3: Cross multiply
   50,684x = 78,018 × 78,018
4. Step 4: Simplify right side
   50,684x = 6,086,808,324
5. Step 5: Solve for x
   x = 6,086,808,324/50,684
6. Step 6: Final answer
   x = 120,093.29