Finding the Third Proportional to 111,907 and 173,533

Step by Step Solution

1. Step 1: Write the proportion equation
   111,907 : 173,533 = 173,533 : x
2. Step 2: Convert to fraction form
   111,907/173,533 = 173,533/x
3. Step 3: Cross multiply
   111,907x = 173,533 × 173,533
4. Step 4: Simplify right side
   111,907x = 30,113,702,089
5. Step 5: Solve for x
   x = 30,113,702,089/111,907
6. Step 6: Final answer
   x = 269,095.79