Finding the Third Proportional to 82,718 and 179,434

Step by Step Solution

1. Step 1: Write the proportion equation
   82,718 : 179,434 = 179,434 : x
2. Step 2: Convert to fraction form
   82,718/179,434 = 179,434/x
3. Step 3: Cross multiply
   82,718x = 179,434 × 179,434
4. Step 4: Simplify right side
   82,718x = 32,196,560,356
5. Step 5: Solve for x
   x = 32,196,560,356/82,718
6. Step 6: Final answer
   x = 389,232.82