Finding the Third Proportional to 50,714 and 109,204

Step by Step Solution

1. Step 1: Write the proportion equation
   50,714 : 109,204 = 109,204 : x
2. Step 2: Convert to fraction form
   50,714/109,204 = 109,204/x
3. Step 3: Cross multiply
   50,714x = 109,204 × 109,204
4. Step 4: Simplify right side
   50,714x = 11,925,513,616
5. Step 5: Solve for x
   x = 11,925,513,616/50,714
6. Step 6: Final answer
   x = 235,152.30