Finding the Third Proportional to 42,689 and 103,401

Step by Step Solution

1. Step 1: Write the proportion equation
   42,689 : 103,401 = 103,401 : x
2. Step 2: Convert to fraction form
   42,689/103,401 = 103,401/x
3. Step 3: Cross multiply
   42,689x = 103,401 × 103,401
4. Step 4: Simplify right side
   42,689x = 10,691,766,801
5. Step 5: Solve for x
   x = 10,691,766,801/42,689
6. Step 6: Final answer
   x = 250,457.19