Finding the Third Proportional to 82,280 and 179,427

Step by Step Solution

1. Step 1: Write the proportion equation
   82,280 : 179,427 = 179,427 : x
2. Step 2: Convert to fraction form
   82,280/179,427 = 179,427/x
3. Step 3: Cross multiply
   82,280x = 179,427 × 179,427
4. Step 4: Simplify right side
   82,280x = 32,194,048,329
5. Step 5: Solve for x
   x = 32,194,048,329/82,280
6. Step 6: Final answer
   x = 391,274.29