Finding the Third Proportional to 82,884 and 177,401

Step by Step Solution

1. Step 1: Write the proportion equation
   82,884 : 177,401 = 177,401 : x
2. Step 2: Convert to fraction form
   82,884/177,401 = 177,401/x
3. Step 3: Cross multiply
   82,884x = 177,401 × 177,401
4. Step 4: Simplify right side
   82,884x = 31,471,114,801
5. Step 5: Solve for x
   x = 31,471,114,801/82,884
6. Step 6: Final answer
   x = 379,700.72