Finding the Third Proportional to 51,970 and 113,833

Step by Step Solution

1. Step 1: Write the proportion equation
   51,970 : 113,833 = 113,833 : x
2. Step 2: Convert to fraction form
   51,970/113,833 = 113,833/x
3. Step 3: Cross multiply
   51,970x = 113,833 × 113,833
4. Step 4: Simplify right side
   51,970x = 12,957,951,889
5. Step 5: Solve for x
   x = 12,957,951,889/51,970
6. Step 6: Final answer
   x = 249,335.23