Finding the Third Proportional to 113,281 and 174,801

Step by Step Solution

1. Step 1: Write the proportion equation
   113,281 : 174,801 = 174,801 : x
2. Step 2: Convert to fraction form
   113,281/174,801 = 174,801/x
3. Step 3: Cross multiply
   113,281x = 174,801 × 174,801
4. Step 4: Simplify right side
   113,281x = 30,555,389,601
5. Step 5: Solve for x
   x = 30,555,389,601/113,281
6. Step 6: Final answer
   x = 269,730.93