Finding the Third Proportional to 81,810 and 178,401

Step by Step Solution

1. Step 1: Write the proportion equation
   81,810 : 178,401 = 178,401 : x
2. Step 2: Convert to fraction form
   81,810/178,401 = 178,401/x
3. Step 3: Cross multiply
   81,810x = 178,401 × 178,401
4. Step 4: Simplify right side
   81,810x = 31,826,916,801
5. Step 5: Solve for x
   x = 31,826,916,801/81,810
6. Step 6: Final answer
   x = 389,034.55