Finding the Third Proportional to 113,678 and 169,814

Step by Step Solution

1. Step 1: Write the proportion equation
   113,678 : 169,814 = 169,814 : x
2. Step 2: Convert to fraction form
   113,678/169,814 = 169,814/x
3. Step 3: Cross multiply
   113,678x = 169,814 × 169,814
4. Step 4: Simplify right side
   113,678x = 28,836,794,596
5. Step 5: Solve for x
   x = 28,836,794,596/113,678
6. Step 6: Final answer
   x = 253,670.85