Finding the Third Proportional to 83,082 and 128,890

Step by Step Solution

1. Step 1: Write the proportion equation
   83,082 : 128,890 = 128,890 : x
2. Step 2: Convert to fraction form
   83,082/128,890 = 128,890/x
3. Step 3: Cross multiply
   83,082x = 128,890 × 128,890
4. Step 4: Simplify right side
   83,082x = 16,612,632,100
5. Step 5: Solve for x
   x = 16,612,632,100/83,082
6. Step 6: Final answer
   x = 199,954.65