Finding the Third Proportional to 50,178 and 110,199

Step by Step Solution

1. Step 1: Write the proportion equation
   50,178 : 110,199 = 110,199 : x
2. Step 2: Convert to fraction form
   50,178/110,199 = 110,199/x
3. Step 3: Cross multiply
   50,178x = 110,199 × 110,199
4. Step 4: Simplify right side
   50,178x = 12,143,819,601
5. Step 5: Solve for x
   x = 12,143,819,601/50,178
6. Step 6: Final answer
   x = 242,014.82