Finding the Third Proportional to 76,082 and 111,306

Step by Step Solution

1. Step 1: Write the proportion equation
   76,082 : 111,306 = 111,306 : x
2. Step 2: Convert to fraction form
   76,082/111,306 = 111,306/x
3. Step 3: Cross multiply
   76,082x = 111,306 × 111,306
4. Step 4: Simplify right side
   76,082x = 12,389,025,636
5. Step 5: Solve for x
   x = 12,389,025,636/76,082
6. Step 6: Final answer
   x = 162,837.80