Finding the Third Proportional to 50,978 and 76,515

Step by Step Solution

1. Step 1: Write the proportion equation
   50,978 : 76,515 = 76,515 : x
2. Step 2: Convert to fraction form
   50,978/76,515 = 76,515/x
3. Step 3: Cross multiply
   50,978x = 76,515 × 76,515
4. Step 4: Simplify right side
   50,978x = 5,854,545,225
5. Step 5: Solve for x
   x = 5,854,545,225/50,978
6. Step 6: Final answer
   x = 114,844.55