Finding the Third Proportional to 82,980 and 127,546

Step by Step Solution

1. Step 1: Write the proportion equation
   82,980 : 127,546 = 127,546 : x
2. Step 2: Convert to fraction form
   82,980/127,546 = 127,546/x
3. Step 3: Cross multiply
   82,980x = 127,546 × 127,546
4. Step 4: Simplify right side
   82,980x = 16,267,982,116
5. Step 5: Solve for x
   x = 16,267,982,116/82,980
6. Step 6: Final answer
   x = 196,047.02