Finding the Third Proportional to 53,505 and 113,922

Step by Step Solution

1. Step 1: Write the proportion equation
   53,505 : 113,922 = 113,922 : x
2. Step 2: Convert to fraction form
   53,505/113,922 = 113,922/x
3. Step 3: Cross multiply
   53,505x = 113,922 × 113,922
4. Step 4: Simplify right side
   53,505x = 12,978,222,084
5. Step 5: Solve for x
   x = 12,978,222,084/53,505
6. Step 6: Final answer
   x = 242,560.92