Finding the Third Proportional to 82,041 and 175,458

Step by Step Solution

1. Step 1: Write the proportion equation
   82,041 : 175,458 = 175,458 : x
2. Step 2: Convert to fraction form
   82,041/175,458 = 175,458/x
3. Step 3: Cross multiply
   82,041x = 175,458 × 175,458
4. Step 4: Simplify right side
   82,041x = 30,785,509,764
5. Step 5: Solve for x
   x = 30,785,509,764/82,041
6. Step 6: Final answer
   x = 375,245.42