Finding the Third Proportional to 81,773 and 179,098

Step by Step Solution

1. Step 1: Write the proportion equation
   81,773 : 179,098 = 179,098 : x
2. Step 2: Convert to fraction form
   81,773/179,098 = 179,098/x
3. Step 3: Cross multiply
   81,773x = 179,098 × 179,098
4. Step 4: Simplify right side
   81,773x = 32,076,093,604
5. Step 5: Solve for x
   x = 32,076,093,604/81,773
6. Step 6: Final answer
   x = 392,257.76