Finding the Third Proportional to 51,976 and 114,180

Step by Step Solution

1. Step 1: Write the proportion equation
   51,976 : 114,180 = 114,180 : x
2. Step 2: Convert to fraction form
   51,976/114,180 = 114,180/x
3. Step 3: Cross multiply
   51,976x = 114,180 × 114,180
4. Step 4: Simplify right side
   51,976x = 13,037,072,400
5. Step 5: Solve for x
   x = 13,037,072,400/51,976
6. Step 6: Final answer
   x = 250,828.70