Finding the Third Proportional to 51,434 and 112,204

Step by Step Solution

1. Step 1: Write the proportion equation
   51,434 : 112,204 = 112,204 : x
2. Step 2: Convert to fraction form
   51,434/112,204 = 112,204/x
3. Step 3: Cross multiply
   51,434x = 112,204 × 112,204
4. Step 4: Simplify right side
   51,434x = 12,589,737,616
5. Step 5: Solve for x
   x = 12,589,737,616/51,434
6. Step 6: Final answer
   x = 244,774.62