Finding the Third Proportional to 47,082 and 103,641

Step by Step Solution

1. Step 1: Write the proportion equation
   47,082 : 103,641 = 103,641 : x
2. Step 2: Convert to fraction form
   47,082/103,641 = 103,641/x
3. Step 3: Cross multiply
   47,082x = 103,641 × 103,641
4. Step 4: Simplify right side
   47,082x = 10,741,456,881
5. Step 5: Solve for x
   x = 10,741,456,881/47,082
6. Step 6: Final answer
   x = 228,143.60