Finding the Third Proportional to 111,115 and 169,406

Step by Step Solution

1. Step 1: Write the proportion equation
   111,115 : 169,406 = 169,406 : x
2. Step 2: Convert to fraction form
   111,115/169,406 = 169,406/x
3. Step 3: Cross multiply
   111,115x = 169,406 × 169,406
4. Step 4: Simplify right side
   111,115x = 28,698,392,836
5. Step 5: Solve for x
   x = 28,698,392,836/111,115
6. Step 6: Final answer
   x = 258,276.50