Finding the Third Proportional to 82,657 and 179,048

Step by Step Solution

1. Step 1: Write the proportion equation
   82,657 : 179,048 = 179,048 : x
2. Step 2: Convert to fraction form
   82,657/179,048 = 179,048/x
3. Step 3: Cross multiply
   82,657x = 179,048 × 179,048
4. Step 4: Simplify right side
   82,657x = 32,058,186,304
5. Step 5: Solve for x
   x = 32,058,186,304/82,657
6. Step 6: Final answer
   x = 387,845.99