Finding the Third Proportional to 113,684 and 169,823

Step by Step Solution

1. Step 1: Write the proportion equation
   113,684 : 169,823 = 169,823 : x
2. Step 2: Convert to fraction form
   113,684/169,823 = 169,823/x
3. Step 3: Cross multiply
   113,684x = 169,823 × 169,823
4. Step 4: Simplify right side
   113,684x = 28,839,851,329
5. Step 5: Solve for x
   x = 28,839,851,329/113,684
6. Step 6: Final answer
   x = 253,684.35