Finding the Third Proportional to 82,273 and 179,619

Step by Step Solution

1. Step 1: Write the proportion equation
   82,273 : 179,619 = 179,619 : x
2. Step 2: Convert to fraction form
   82,273/179,619 = 179,619/x
3. Step 3: Cross multiply
   82,273x = 179,619 × 179,619
4. Step 4: Simplify right side
   82,273x = 32,262,985,161
5. Step 5: Solve for x
   x = 32,262,985,161/82,273
6. Step 6: Final answer
   x = 392,145.48