Finding the Third Proportional to 111,410 and 173,891

Step by Step Solution

1. Step 1: Write the proportion equation
   111,410 : 173,891 = 173,891 : x
2. Step 2: Convert to fraction form
   111,410/173,891 = 173,891/x
3. Step 3: Cross multiply
   111,410x = 173,891 × 173,891
4. Step 4: Simplify right side
   111,410x = 30,238,079,881
5. Step 5: Solve for x
   x = 30,238,079,881/111,410
6. Step 6: Final answer
   x = 271,412.62