Finding the Third Proportional to 51,852 and 113,790

Step by Step Solution

1. Step 1: Write the proportion equation
   51,852 : 113,790 = 113,790 : x
2. Step 2: Convert to fraction form
   51,852/113,790 = 113,790/x
3. Step 3: Cross multiply
   51,852x = 113,790 × 113,790
4. Step 4: Simplify right side
   51,852x = 12,948,164,100
5. Step 5: Solve for x
   x = 12,948,164,100/51,852
6. Step 6: Final answer
   x = 249,713.88