Finding the Third Proportional to 53,910 and 113,404

Step by Step Solution

1. Step 1: Write the proportion equation
   53,910 : 113,404 = 113,404 : x
2. Step 2: Convert to fraction form
   53,910/113,404 = 113,404/x
3. Step 3: Cross multiply
   53,910x = 113,404 × 113,404
4. Step 4: Simplify right side
   53,910x = 12,860,467,216
5. Step 5: Solve for x
   x = 12,860,467,216/53,910
6. Step 6: Final answer
   x = 238,554.39