Finding the Third Proportional to 103,614 and 229,004

Step by Step Solution

1. Step 1: Write the proportion equation
   103,614 : 229,004 = 229,004 : x
2. Step 2: Convert to fraction form
   103,614/229,004 = 229,004/x
3. Step 3: Cross multiply
   103,614x = 229,004 × 229,004
4. Step 4: Simplify right side
   103,614x = 52,442,832,016
5. Step 5: Solve for x
   x = 52,442,832,016/103,614
6. Step 6: Final answer
   x = 506,136.55