Finding the Third Proportional to 82,320 and 179,706

Step by Step Solution

1. Step 1: Write the proportion equation
   82,320 : 179,706 = 179,706 : x
2. Step 2: Convert to fraction form
   82,320/179,706 = 179,706/x
3. Step 3: Cross multiply
   82,320x = 179,706 × 179,706
4. Step 4: Simplify right side
   82,320x = 32,294,246,436
5. Step 5: Solve for x
   x = 32,294,246,436/82,320
6. Step 6: Final answer
   x = 392,301.34