Finding the Third Proportional to 76,082 and 111,305

Step by Step Solution

1. Step 1: Write the proportion equation
   76,082 : 111,305 = 111,305 : x
2. Step 2: Convert to fraction form
   76,082/111,305 = 111,305/x
3. Step 3: Cross multiply
   76,082x = 111,305 × 111,305
4. Step 4: Simplify right side
   76,082x = 12,388,803,025
5. Step 5: Solve for x
   x = 12,388,803,025/76,082
6. Step 6: Final answer
   x = 162,834.88