Finding the Third Proportional to 82,282 and 179,432

Step by Step Solution

1. Step 1: Write the proportion equation
   82,282 : 179,432 = 179,432 : x
2. Step 2: Convert to fraction form
   82,282/179,432 = 179,432/x
3. Step 3: Cross multiply
   82,282x = 179,432 × 179,432
4. Step 4: Simplify right side
   82,282x = 32,195,842,624
5. Step 5: Solve for x
   x = 32,195,842,624/82,282
6. Step 6: Final answer
   x = 391,286.58