Finding the Third Proportional to 50,216 and 109,178

Step by Step Solution

1. Step 1: Write the proportion equation
   50,216 : 109,178 = 109,178 : x
2. Step 2: Convert to fraction form
   50,216/109,178 = 109,178/x
3. Step 3: Cross multiply
   50,216x = 109,178 × 109,178
4. Step 4: Simplify right side
   50,216x = 11,919,835,684
5. Step 5: Solve for x
   x = 11,919,835,684/50,216
6. Step 6: Final answer
   x = 237,371.27