Finding the Third Proportional to 82,322 and 179,710

Step by Step Solution

1. Step 1: Write the proportion equation
   82,322 : 179,710 = 179,710 : x
2. Step 2: Convert to fraction form
   82,322/179,710 = 179,710/x
3. Step 3: Cross multiply
   82,322x = 179,710 × 179,710
4. Step 4: Simplify right side
   82,322x = 32,295,684,100
5. Step 5: Solve for x
   x = 32,295,684,100/82,322
6. Step 6: Final answer
   x = 392,309.27