Finding the Third Proportional to 82,710 and 179,418

Step by Step Solution

1. Step 1: Write the proportion equation
   82,710 : 179,418 = 179,418 : x
2. Step 2: Convert to fraction form
   82,710/179,418 = 179,418/x
3. Step 3: Cross multiply
   82,710x = 179,418 × 179,418
4. Step 4: Simplify right side
   82,710x = 32,190,818,724
5. Step 5: Solve for x
   x = 32,190,818,724/82,710
6. Step 6: Final answer
   x = 389,201.05