Finding the Third Proportional to 42,786 and 103,684

Step by Step Solution

1. Step 1: Write the proportion equation
   42,786 : 103,684 = 103,684 : x
2. Step 2: Convert to fraction form
   42,786/103,684 = 103,684/x
3. Step 3: Cross multiply
   42,786x = 103,684 × 103,684
4. Step 4: Simplify right side
   42,786x = 10,750,371,856
5. Step 5: Solve for x
   x = 10,750,371,856/42,786
6. Step 6: Final answer
   x = 251,259.10