Finding the Third Proportional to 101,655 and 223,002

Step by Step Solution

1. Step 1: Write the proportion equation
   101,655 : 223,002 = 223,002 : x
2. Step 2: Convert to fraction form
   101,655/223,002 = 223,002/x
3. Step 3: Cross multiply
   101,655x = 223,002 × 223,002
4. Step 4: Simplify right side
   101,655x = 49,729,892,004
5. Step 5: Solve for x
   x = 49,729,892,004/101,655
6. Step 6: Final answer
   x = 489,202.62