Finding the Third Proportional to 47,756 and 102,082

Step by Step Solution

1. Step 1: Write the proportion equation
   47,756 : 102,082 = 102,082 : x
2. Step 2: Convert to fraction form
   47,756/102,082 = 102,082/x
3. Step 3: Cross multiply
   47,756x = 102,082 × 102,082
4. Step 4: Simplify right side
   47,756x = 10,420,734,724
5. Step 5: Solve for x
   x = 10,420,734,724/47,756
6. Step 6: Final answer
   x = 218,207.86