Finding the Third Proportional to 51,862 and 113,764

Step by Step Solution

1. Step 1: Write the proportion equation
   51,862 : 113,764 = 113,764 : x
2. Step 2: Convert to fraction form
   51,862/113,764 = 113,764/x
3. Step 3: Cross multiply
   51,862x = 113,764 × 113,764
4. Step 4: Simplify right side
   51,862x = 12,942,247,696
5. Step 5: Solve for x
   x = 12,942,247,696/51,862
6. Step 6: Final answer
   x = 249,551.65