Finding the Third Proportional to 82,012 and 179,342

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012 : 179,342 = 179,342 : x
2. Step 2: Convert to fraction form
   82,012/179,342 = 179,342/x
3. Step 3: Cross multiply
   82,012x = 179,342 × 179,342
4. Step 4: Simplify right side
   82,012x = 32,163,552,964
5. Step 5: Solve for x
   x = 32,163,552,964/82,012
6. Step 6: Final answer
   x = 392,181.06