Finding the Third Proportional to 51,739 and 113,164

Step by Step Solution

1. Step 1: Write the proportion equation
   51,739 : 113,164 = 113,164 : x
2. Step 2: Convert to fraction form
   51,739/113,164 = 113,164/x
3. Step 3: Cross multiply
   51,739x = 113,164 × 113,164
4. Step 4: Simplify right side
   51,739x = 12,806,090,896
5. Step 5: Solve for x
   x = 12,806,090,896/51,739
6. Step 6: Final answer
   x = 247,513.31