Finding the Third Proportional to 105,864 and 227,082

Step by Step Solution

1. Step 1: Write the proportion equation
   105,864 : 227,082 = 227,082 : x
2. Step 2: Convert to fraction form
   105,864/227,082 = 227,082/x
3. Step 3: Cross multiply
   105,864x = 227,082 × 227,082
4. Step 4: Simplify right side
   105,864x = 51,566,234,724
5. Step 5: Solve for x
   x = 51,566,234,724/105,864
6. Step 6: Final answer
   x = 487,098.87