Finding the Third Proportional to 82,390 and 179,882

Step by Step Solution

1. Step 1: Write the proportion equation
   82,390 : 179,882 = 179,882 : x
2. Step 2: Convert to fraction form
   82,390/179,882 = 179,882/x
3. Step 3: Cross multiply
   82,390x = 179,882 × 179,882
4. Step 4: Simplify right side
   82,390x = 32,357,533,924
5. Step 5: Solve for x
   x = 32,357,533,924/82,390
6. Step 6: Final answer
   x = 392,736.18