Finding the Third Proportional to 82,992 and 127,732

Step by Step Solution

1. Step 1: Write the proportion equation
   82,992 : 127,732 = 127,732 : x
2. Step 2: Convert to fraction form
   82,992/127,732 = 127,732/x
3. Step 3: Cross multiply
   82,992x = 127,732 × 127,732
4. Step 4: Simplify right side
   82,992x = 16,315,463,824
5. Step 5: Solve for x
   x = 16,315,463,824/82,992
6. Step 6: Final answer
   x = 196,590.80