Finding the Third Proportional to 82,341 and 127,116

Step by Step Solution

1. Step 1: Write the proportion equation
   82,341 : 127,116 = 127,116 : x
2. Step 2: Convert to fraction form
   82,341/127,116 = 127,116/x
3. Step 3: Cross multiply
   82,341x = 127,116 × 127,116
4. Step 4: Simplify right side
   82,341x = 16,158,477,456
5. Step 5: Solve for x
   x = 16,158,477,456/82,341
6. Step 6: Final answer
   x = 196,238.54