Finding the Third Proportional to 111,477 and 169,345

Step by Step Solution

1. Step 1: Write the proportion equation
   111,477 : 169,345 = 169,345 : x
2. Step 2: Convert to fraction form
   111,477/169,345 = 169,345/x
3. Step 3: Cross multiply
   111,477x = 169,345 × 169,345
4. Step 4: Simplify right side
   111,477x = 28,677,729,025
5. Step 5: Solve for x
   x = 28,677,729,025/111,477
6. Step 6: Final answer
   x = 257,252.43