Finding the Third Proportional to 52,282 and 113,204

Step by Step Solution

1. Step 1: Write the proportion equation
   52,282 : 113,204 = 113,204 : x
2. Step 2: Convert to fraction form
   52,282/113,204 = 113,204/x
3. Step 3: Cross multiply
   52,282x = 113,204 × 113,204
4. Step 4: Simplify right side
   52,282x = 12,815,145,616
5. Step 5: Solve for x
   x = 12,815,145,616/52,282
6. Step 6: Final answer
   x = 245,115.83