Finding the Third Proportional to 42,790 and 103,694

Step by Step Solution

1. Step 1: Write the proportion equation
   42,790 : 103,694 = 103,694 : x
2. Step 2: Convert to fraction form
   42,790/103,694 = 103,694/x
3. Step 3: Cross multiply
   42,790x = 103,694 × 103,694
4. Step 4: Simplify right side
   42,790x = 10,752,445,636
5. Step 5: Solve for x
   x = 10,752,445,636/42,790
6. Step 6: Final answer
   x = 251,284.08