Finding the Third Proportional to 47,006 and 105,850

Step by Step Solution

1. Step 1: Write the proportion equation
   47,006 : 105,850 = 105,850 : x
2. Step 2: Convert to fraction form
   47,006/105,850 = 105,850/x
3. Step 3: Cross multiply
   47,006x = 105,850 × 105,850
4. Step 4: Simplify right side
   47,006x = 11,204,222,500
5. Step 5: Solve for x
   x = 11,204,222,500/47,006
6. Step 6: Final answer
   x = 238,357.28