Finding the Third Proportional to 111,116 and 169,408

Step by Step Solution

1. Step 1: Write the proportion equation
   111,116 : 169,408 = 169,408 : x
2. Step 2: Convert to fraction form
   111,116/169,408 = 169,408/x
3. Step 3: Cross multiply
   111,116x = 169,408 × 169,408
4. Step 4: Simplify right side
   111,116x = 28,699,070,464
5. Step 5: Solve for x
   x = 28,699,070,464/111,116
6. Step 6: Final answer
   x = 258,280.27