Finding the Third Proportional to 105,862 and 229,004

Step by Step Solution

1. Step 1: Write the proportion equation
   105,862 : 229,004 = 229,004 : x
2. Step 2: Convert to fraction form
   105,862/229,004 = 229,004/x
3. Step 3: Cross multiply
   105,862x = 229,004 × 229,004
4. Step 4: Simplify right side
   105,862x = 52,442,832,016
5. Step 5: Solve for x
   x = 52,442,832,016/105,862
6. Step 6: Final answer
   x = 495,388.64