Finding the Third Proportional to 82,992 and 127,560

Step by Step Solution

1. Step 1: Write the proportion equation
   82,992 : 127,560 = 127,560 : x
2. Step 2: Convert to fraction form
   82,992/127,560 = 127,560/x
3. Step 3: Cross multiply
   82,992x = 127,560 × 127,560
4. Step 4: Simplify right side
   82,992x = 16,271,553,600
5. Step 5: Solve for x
   x = 16,271,553,600/82,992
6. Step 6: Final answer
   x = 196,061.71