Finding the Third Proportional to 50,978 and 110,158

Step by Step Solution

1. Step 1: Write the proportion equation
   50,978 : 110,158 = 110,158 : x
2. Step 2: Convert to fraction form
   50,978/110,158 = 110,158/x
3. Step 3: Cross multiply
   50,978x = 110,158 × 110,158
4. Step 4: Simplify right side
   50,978x = 12,134,784,964
5. Step 5: Solve for x
   x = 12,134,784,964/50,978
6. Step 6: Final answer
   x = 238,039.64