Finding the Third Proportional to 110,435 and 174,942

Step by Step Solution

1. Step 1: Write the proportion equation
   110,435 : 174,942 = 174,942 : x
2. Step 2: Convert to fraction form
   110,435/174,942 = 174,942/x
3. Step 3: Cross multiply
   110,435x = 174,942 × 174,942
4. Step 4: Simplify right side
   110,435x = 30,604,703,364
5. Step 5: Solve for x
   x = 30,604,703,364/110,435
6. Step 6: Final answer
   x = 277,128.66