Finding the Third Proportional to 111,936 and 173,574

Step by Step Solution

1. Step 1: Write the proportion equation
   111,936 : 173,574 = 173,574 : x
2. Step 2: Convert to fraction form
   111,936/173,574 = 173,574/x
3. Step 3: Cross multiply
   111,936x = 173,574 × 173,574
4. Step 4: Simplify right side
   111,936x = 30,127,933,476
5. Step 5: Solve for x
   x = 30,127,933,476/111,936
6. Step 6: Final answer
   x = 269,153.21