Finding the Third Proportional to 47,601 and 103,005

Step by Step Solution

1. Step 1: Write the proportion equation
   47,601 : 103,005 = 103,005 : x
2. Step 2: Convert to fraction form
   47,601/103,005 = 103,005/x
3. Step 3: Cross multiply
   47,601x = 103,005 × 103,005
4. Step 4: Simplify right side
   47,601x = 10,610,030,025
5. Step 5: Solve for x
   x = 10,610,030,025/47,601
6. Step 6: Final answer
   x = 222,895.11