Finding the Third Proportional to 80,814 and 172,620

Step by Step Solution

1. Step 1: Write the proportion equation
   80,814 : 172,620 = 172,620 : x
2. Step 2: Convert to fraction form
   80,814/172,620 = 172,620/x
3. Step 3: Cross multiply
   80,814x = 172,620 × 172,620
4. Step 4: Simplify right side
   80,814x = 29,797,664,400
5. Step 5: Solve for x
   x = 29,797,664,400/80,814
6. Step 6: Final answer
   x = 368,719.09