Finding the Third Proportional to 110,264 and 175,240

Step by Step Solution

1. Step 1: Write the proportion equation
   110,264 : 175,240 = 175,240 : x
2. Step 2: Convert to fraction form
   110,264/175,240 = 175,240/x
3. Step 3: Cross multiply
   110,264x = 175,240 × 175,240
4. Step 4: Simplify right side
   110,264x = 30,709,057,600
5. Step 5: Solve for x
   x = 30,709,057,600/110,264
6. Step 6: Final answer
   x = 278,504.84