Finding the Third Proportional to 101,656 and 223,004

Step by Step Solution

1. Step 1: Write the proportion equation
   101,656 : 223,004 = 223,004 : x
2. Step 2: Convert to fraction form
   101,656/223,004 = 223,004/x
3. Step 3: Cross multiply
   101,656x = 223,004 × 223,004
4. Step 4: Simplify right side
   101,656x = 49,730,784,016
5. Step 5: Solve for x
   x = 49,730,784,016/101,656
6. Step 6: Final answer
   x = 489,206.58