Finding the Third Proportional to 51,852 and 113,640

Step by Step Solution

1. Step 1: Write the proportion equation
   51,852 : 113,640 = 113,640 : x
2. Step 2: Convert to fraction form
   51,852/113,640 = 113,640/x
3. Step 3: Cross multiply
   51,852x = 113,640 × 113,640
4. Step 4: Simplify right side
   51,852x = 12,914,049,600
5. Step 5: Solve for x
   x = 12,914,049,600/51,852
6. Step 6: Final answer
   x = 249,055.96