Finding the Third Proportional to 82,788 and 179,400

Step by Step Solution

1. Step 1: Write the proportion equation
   82,788 : 179,400 = 179,400 : x
2. Step 2: Convert to fraction form
   82,788/179,400 = 179,400/x
3. Step 3: Cross multiply
   82,788x = 179,400 × 179,400
4. Step 4: Simplify right side
   82,788x = 32,184,360,000
5. Step 5: Solve for x
   x = 32,184,360,000/82,788
6. Step 6: Final answer
   x = 388,756.34