Finding the Third Proportional to 51,200 and 112,241

Step by Step Solution

1. Step 1: Write the proportion equation
   51,200 : 112,241 = 112,241 : x
2. Step 2: Convert to fraction form
   51,200/112,241 = 112,241/x
3. Step 3: Cross multiply
   51,200x = 112,241 × 112,241
4. Step 4: Simplify right side
   51,200x = 12,598,042,081
5. Step 5: Solve for x
   x = 12,598,042,081/51,200
6. Step 6: Final answer
   x = 246,055.51