Finding the Third Proportional to 82,204.88 and 179,172

Step by Step Solution

1. Step 1: Write the proportion equation
   82,204.88 : 179,172 = 179,172 : x
2. Step 2: Convert to fraction form
   82,204.88/179,172 = 179,172/x
3. Step 3: Cross multiply
   82,204.88x = 179,172 × 179,172
4. Step 4: Simplify right side
   82,204.88x = 32,102,605,584
5. Step 5: Solve for x
   x = 32,102,605,584/82,204.88
6. Step 6: Final answer
   x = 390,519.49