Finding the Third Proportional to 82,992 and 179,960

Step by Step Solution

1. Step 1: Write the proportion equation
   82,992 : 179,960 = 179,960 : x
2. Step 2: Convert to fraction form
   82,992/179,960 = 179,960/x
3. Step 3: Cross multiply
   82,992x = 179,960 × 179,960
4. Step 4: Simplify right side
   82,992x = 32,385,601,600
5. Step 5: Solve for x
   x = 32,385,601,600/82,992
6. Step 6: Final answer
   x = 390,225.58