Finding the Third Proportional to 40,284 and 86,401

Step by Step Solution

1. Step 1: Write the proportion equation
   40,284 : 86,401 = 86,401 : x
2. Step 2: Convert to fraction form
   40,284/86,401 = 86,401/x
3. Step 3: Cross multiply
   40,284x = 86,401 × 86,401
4. Step 4: Simplify right side
   40,284x = 7,465,132,801
5. Step 5: Solve for x
   x = 7,465,132,801/40,284
6. Step 6: Final answer
   x = 185,312.60