Finding the Third Proportional to 47,737 and 105,004

Step by Step Solution

1. Step 1: Write the proportion equation
   47,737 : 105,004 = 105,004 : x
2. Step 2: Convert to fraction form
   47,737/105,004 = 105,004/x
3. Step 3: Cross multiply
   47,737x = 105,004 × 105,004
4. Step 4: Simplify right side
   47,737x = 11,025,840,016
5. Step 5: Solve for x
   x = 11,025,840,016/47,737
6. Step 6: Final answer
   x = 230,970.53