Finding the Third Proportional to 53,408 and 123,636

Step by Step Solution

1. Step 1: Write the proportion equation
   53,408 : 123,636 = 123,636 : x
2. Step 2: Convert to fraction form
   53,408/123,636 = 123,636/x
3. Step 3: Cross multiply
   53,408x = 123,636 × 123,636
4. Step 4: Simplify right side
   53,408x = 15,285,860,496
5. Step 5: Solve for x
   x = 15,285,860,496/53,408
6. Step 6: Final answer
   x = 286,209.19