Finding the Third Proportional to 111,408 and 168,057

Step by Step Solution

1. Step 1: Write the proportion equation
   111,408 : 168,057 = 168,057 : x
2. Step 2: Convert to fraction form
   111,408/168,057 = 168,057/x
3. Step 3: Cross multiply
   111,408x = 168,057 × 168,057
4. Step 4: Simplify right side
   111,408x = 28,243,155,249
5. Step 5: Solve for x
   x = 28,243,155,249/111,408
6. Step 6: Final answer
   x = 253,511.02