Finding the Third Proportional to 79,404 and 174,361

Step by Step Solution

1. Step 1: Write the proportion equation
   79,404 : 174,361 = 174,361 : x
2. Step 2: Convert to fraction form
   79,404/174,361 = 174,361/x
3. Step 3: Cross multiply
   79,404x = 174,361 × 174,361
4. Step 4: Simplify right side
   79,404x = 30,401,758,321
5. Step 5: Solve for x
   x = 30,401,758,321/79,404
6. Step 6: Final answer
   x = 382,874.39