Finding the Third Proportional to 82,604 and 175,864

Step by Step Solution

1. Step 1: Write the proportion equation
   82,604 : 175,864 = 175,864 : x
2. Step 2: Convert to fraction form
   82,604/175,864 = 175,864/x
3. Step 3: Cross multiply
   82,604x = 175,864 × 175,864
4. Step 4: Simplify right side
   82,604x = 30,928,146,496
5. Step 5: Solve for x
   x = 30,928,146,496/82,604
6. Step 6: Final answer
   x = 374,414.63