Finding the Third Proportional to 110,706 and 229,290

Step by Step Solution

1. Step 1: Write the proportion equation
   110,706 : 229,290 = 229,290 : x
2. Step 2: Convert to fraction form
   110,706/229,290 = 229,290/x
3. Step 3: Cross multiply
   110,706x = 229,290 × 229,290
4. Step 4: Simplify right side
   110,706x = 52,573,904,100
5. Step 5: Solve for x
   x = 52,573,904,100/110,706
6. Step 6: Final answer
   x = 474,896.61