Finding the Third Proportional to 111,924 and 173,559

Step by Step Solution

1. Step 1: Write the proportion equation
   111,924 : 173,559 = 173,559 : x
2. Step 2: Convert to fraction form
   111,924/173,559 = 173,559/x
3. Step 3: Cross multiply
   111,924x = 173,559 × 173,559
4. Step 4: Simplify right side
   111,924x = 30,122,726,481
5. Step 5: Solve for x
   x = 30,122,726,481/111,924
6. Step 6: Final answer
   x = 269,135.54