Finding the Third Proportional to 111,537 and 173,502

Step by Step Solution

1. Step 1: Write the proportion equation
   111,537 : 173,502 = 173,502 : x
2. Step 2: Convert to fraction form
   111,537/173,502 = 173,502/x
3. Step 3: Cross multiply
   111,537x = 173,502 × 173,502
4. Step 4: Simplify right side
   111,537x = 30,102,944,004
5. Step 5: Solve for x
   x = 30,102,944,004/111,537
6. Step 6: Final answer
   x = 269,892