Finding the Third Proportional to 47,818 and 105,072

Step by Step Solution

1. Step 1: Write the proportion equation
   47,818 : 105,072 = 105,072 : x
2. Step 2: Convert to fraction form
   47,818/105,072 = 105,072/x
3. Step 3: Cross multiply
   47,818x = 105,072 × 105,072
4. Step 4: Simplify right side
   47,818x = 11,040,125,184
5. Step 5: Solve for x
   x = 11,040,125,184/47,818
6. Step 6: Final answer
   x = 230,878.02