Finding the Third Proportional to 50,478 and 109,212

Step by Step Solution

1. Step 1: Write the proportion equation
   50,478 : 109,212 = 109,212 : x
2. Step 2: Convert to fraction form
   50,478/109,212 = 109,212/x
3. Step 3: Cross multiply
   50,478x = 109,212 × 109,212
4. Step 4: Simplify right side
   50,478x = 11,927,260,944
5. Step 5: Solve for x
   x = 11,927,260,944/50,478
6. Step 6: Final answer
   x = 236,286.32