Finding the Third Proportional to 82,672 and 179,080

Step by Step Solution

1. Step 1: Write the proportion equation
   82,672 : 179,080 = 179,080 : x
2. Step 2: Convert to fraction form
   82,672/179,080 = 179,080/x
3. Step 3: Cross multiply
   82,672x = 179,080 × 179,080
4. Step 4: Simplify right side
   82,672x = 32,069,646,400
5. Step 5: Solve for x
   x = 32,069,646,400/82,672
6. Step 6: Final answer
   x = 387,914.24