Finding the Third Proportional to 82,418 and 176,504

Step by Step Solution

1. Step 1: Write the proportion equation
   82,418 : 176,504 = 176,504 : x
2. Step 2: Convert to fraction form
   82,418/176,504 = 176,504/x
3. Step 3: Cross multiply
   82,418x = 176,504 × 176,504
4. Step 4: Simplify right side
   82,418x = 31,153,662,016
5. Step 5: Solve for x
   x = 31,153,662,016/82,418
6. Step 6: Final answer
   x = 377,995.85