Finding the Third Proportional to 47,170 and 103,082

Step by Step Solution

1. Step 1: Write the proportion equation
   47,170 : 103,082 = 103,082 : x
2. Step 2: Convert to fraction form
   47,170/103,082 = 103,082/x
3. Step 3: Cross multiply
   47,170x = 103,082 × 103,082
4. Step 4: Simplify right side
   47,170x = 10,625,898,724
5. Step 5: Solve for x
   x = 10,625,898,724/47,170
6. Step 6: Final answer
   x = 225,268.15