Finding the Third Proportional to 102,044 and 223,780

Step by Step Solution

1. Step 1: Write the proportion equation
   102,044 : 223,780 = 223,780 : x
2. Step 2: Convert to fraction form
   102,044/223,780 = 223,780/x
3. Step 3: Cross multiply
   102,044x = 223,780 × 223,780
4. Step 4: Simplify right side
   102,044x = 50,077,488,400
5. Step 5: Solve for x
   x = 50,077,488,400/102,044
6. Step 6: Final answer
   x = 490,744.08