Finding the Third Proportional to 82,674 and 179,442

Step by Step Solution

1. Step 1: Write the proportion equation
   82,674 : 179,442 = 179,442 : x
2. Step 2: Convert to fraction form
   82,674/179,442 = 179,442/x
3. Step 3: Cross multiply
   82,674x = 179,442 × 179,442
4. Step 4: Simplify right side
   82,674x = 32,199,431,364
5. Step 5: Solve for x
   x = 32,199,431,364/82,674
6. Step 6: Final answer
   x = 389,474.70