Finding the Third Proportional to 83,442 and 129,401

Step by Step Solution

1. Step 1: Write the proportion equation
   83,442 : 129,401 = 129,401 : x
2. Step 2: Convert to fraction form
   83,442/129,401 = 129,401/x
3. Step 3: Cross multiply
   83,442x = 129,401 × 129,401
4. Step 4: Simplify right side
   83,442x = 16,744,618,801
5. Step 5: Solve for x
   x = 16,744,618,801/83,442
6. Step 6: Final answer
   x = 200,673.75