Finding the Third Proportional to 111,734 and 229,390

Step by Step Solution

1. Step 1: Write the proportion equation
   111,734 : 229,390 = 229,390 : x
2. Step 2: Convert to fraction form
   111,734/229,390 = 229,390/x
3. Step 3: Cross multiply
   111,734x = 229,390 × 229,390
4. Step 4: Simplify right side
   111,734x = 52,619,772,100
5. Step 5: Solve for x
   x = 52,619,772,100/111,734
6. Step 6: Final answer
   x = 470,937.87