Finding the Third Proportional to 82,944 and 175,968

Step by Step Solution

1. Step 1: Write the proportion equation
   82,944 : 175,968 = 175,968 : x
2. Step 2: Convert to fraction form
   82,944/175,968 = 175,968/x
3. Step 3: Cross multiply
   82,944x = 175,968 × 175,968
4. Step 4: Simplify right side
   82,944x = 30,964,737,024
5. Step 5: Solve for x
   x = 30,964,737,024/82,944
6. Step 6: Final answer
   x = 373,321