Finding the Third Proportional to 81,834 and 179,282

Step by Step Solution

1. Step 1: Write the proportion equation
   81,834 : 179,282 = 179,282 : x
2. Step 2: Convert to fraction form
   81,834/179,282 = 179,282/x
3. Step 3: Cross multiply
   81,834x = 179,282 × 179,282
4. Step 4: Simplify right side
   81,834x = 32,142,035,524
5. Step 5: Solve for x
   x = 32,142,035,524/81,834
6. Step 6: Final answer
   x = 392,771.17