Finding the Third Proportional to 53,322 and 113,204

Step by Step Solution

1. Step 1: Write the proportion equation
   53,322 : 113,204 = 113,204 : x
2. Step 2: Convert to fraction form
   53,322/113,204 = 113,204/x
3. Step 3: Cross multiply
   53,322x = 113,204 × 113,204
4. Step 4: Simplify right side
   53,322x = 12,815,145,616
5. Step 5: Solve for x
   x = 12,815,145,616/53,322
6. Step 6: Final answer
   x = 240,335.05