Finding the Third Proportional to 81,714 and 128,401

Step by Step Solution

1. Step 1: Write the proportion equation
   81,714 : 128,401 = 128,401 : x
2. Step 2: Convert to fraction form
   81,714/128,401 = 128,401/x
3. Step 3: Cross multiply
   81,714x = 128,401 × 128,401
4. Step 4: Simplify right side
   81,714x = 16,486,816,801
5. Step 5: Solve for x
   x = 16,486,816,801/81,714
6. Step 6: Final answer
   x = 201,762.45