Finding the Third Proportional to 82,394 and 179,890

Step by Step Solution

1. Step 1: Write the proportion equation
   82,394 : 179,890 = 179,890 : x
2. Step 2: Convert to fraction form
   82,394/179,890 = 179,890/x
3. Step 3: Cross multiply
   82,394x = 179,890 × 179,890
4. Step 4: Simplify right side
   82,394x = 32,360,412,100
5. Step 5: Solve for x
   x = 32,360,412,100/82,394
6. Step 6: Final answer
   x = 392,752.05