Finding the Third Proportional to 82,200 and 179,620

Step by Step Solution

1. Step 1: Write the proportion equation
   82,200 : 179,620 = 179,620 : x
2. Step 2: Convert to fraction form
   82,200/179,620 = 179,620/x
3. Step 3: Cross multiply
   82,200x = 179,620 × 179,620
4. Step 4: Simplify right side
   82,200x = 32,263,344,400
5. Step 5: Solve for x
   x = 32,263,344,400/82,200
6. Step 6: Final answer
   x = 392,498.11