Finding the Third Proportional to 80,621 and 127,116

Step by Step Solution

1. Step 1: Write the proportion equation
   80,621 : 127,116 = 127,116 : x
2. Step 2: Convert to fraction form
   80,621/127,116 = 127,116/x
3. Step 3: Cross multiply
   80,621x = 127,116 × 127,116
4. Step 4: Simplify right side
   80,621x = 16,158,477,456
5. Step 5: Solve for x
   x = 16,158,477,456/80,621
6. Step 6: Final answer
   x = 200,425.17