Finding the Third Proportional to 47,604 and 101,004

Step by Step Solution

1. Step 1: Write the proportion equation
   47,604 : 101,004 = 101,004 : x
2. Step 2: Convert to fraction form
   47,604/101,004 = 101,004/x
3. Step 3: Cross multiply
   47,604x = 101,004 × 101,004
4. Step 4: Simplify right side
   47,604x = 10,201,808,016
5. Step 5: Solve for x
   x = 10,201,808,016/47,604
6. Step 6: Final answer
   x = 214,305.69