Finding the Third Proportional to 53,009 and 113,184

Step by Step Solution

1. Step 1: Write the proportion equation
   53,009 : 113,184 = 113,184 : x
2. Step 2: Convert to fraction form
   53,009/113,184 = 113,184/x
3. Step 3: Cross multiply
   53,009x = 113,184 × 113,184
4. Step 4: Simplify right side
   53,009x = 12,810,617,856
5. Step 5: Solve for x
   x = 12,810,617,856/53,009
6. Step 6: Final answer
   x = 241,668.73