Finding the Third Proportional to 42,780 and 103,669

Step by Step Solution

1. Step 1: Write the proportion equation
   42,780 : 103,669 = 103,669 : x
2. Step 2: Convert to fraction form
   42,780/103,669 = 103,669/x
3. Step 3: Cross multiply
   42,780x = 103,669 × 103,669
4. Step 4: Simplify right side
   42,780x = 10,747,261,561
5. Step 5: Solve for x
   x = 10,747,261,561/42,780
6. Step 6: Final answer
   x = 251,221.64