Finding the Third Proportional to 111,906 and 173,532

Step by Step Solution

1. Step 1: Write the proportion equation
   111,906 : 173,532 = 173,532 : x
2. Step 2: Convert to fraction form
   111,906/173,532 = 173,532/x
3. Step 3: Cross multiply
   111,906x = 173,532 × 173,532
4. Step 4: Simplify right side
   111,906x = 30,113,355,024
5. Step 5: Solve for x
   x = 30,113,355,024/111,906
6. Step 6: Final answer
   x = 269,095.09