Finding the Third Proportional to 47,474 and 101,082

Step by Step Solution

1. Step 1: Write the proportion equation
   47,474 : 101,082 = 101,082 : x
2. Step 2: Convert to fraction form
   47,474/101,082 = 101,082/x
3. Step 3: Cross multiply
   47,474x = 101,082 × 101,082
4. Step 4: Simplify right side
   47,474x = 10,217,570,724
5. Step 5: Solve for x
   x = 10,217,570,724/47,474
6. Step 6: Final answer
   x = 215,224.56