Finding the Third Proportional to 47,210 and 103,006

Step by Step Solution

1. Step 1: Write the proportion equation
   47,210 : 103,006 = 103,006 : x
2. Step 2: Convert to fraction form
   47,210/103,006 = 103,006/x
3. Step 3: Cross multiply
   47,210x = 103,006 × 103,006
4. Step 4: Simplify right side
   47,210x = 10,610,236,036
5. Step 5: Solve for x
   x = 10,610,236,036/47,210
6. Step 6: Final answer
   x = 224,745.52