Finding the Third Proportional to 111,420 and 173,906

Step by Step Solution

1. Step 1: Write the proportion equation
   111,420 : 173,906 = 173,906 : x
2. Step 2: Convert to fraction form
   111,420/173,906 = 173,906/x
3. Step 3: Cross multiply
   111,420x = 173,906 × 173,906
4. Step 4: Simplify right side
   111,420x = 30,243,296,836
5. Step 5: Solve for x
   x = 30,243,296,836/111,420
6. Step 6: Final answer
   x = 271,435.08