Finding the Third Proportional to 51,150 and 114,204

Step by Step Solution

1. Step 1: Write the proportion equation
   51,150 : 114,204 = 114,204 : x
2. Step 2: Convert to fraction form
   51,150/114,204 = 114,204/x
3. Step 3: Cross multiply
   51,150x = 114,204 × 114,204
4. Step 4: Simplify right side
   51,150x = 13,042,553,616
5. Step 5: Solve for x
   x = 13,042,553,616/51,150
6. Step 6: Final answer
   x = 254,986.39