Finding the Third Proportional to 51,870 and 113,783

Step by Step Solution

1. Step 1: Write the proportion equation
   51,870 : 113,783 = 113,783 : x
2. Step 2: Convert to fraction form
   51,870/113,783 = 113,783/x
3. Step 3: Cross multiply
   51,870x = 113,783 × 113,783
4. Step 4: Simplify right side
   51,870x = 12,946,571,089
5. Step 5: Solve for x
   x = 12,946,571,089/51,870
6. Step 6: Final answer
   x = 249,596.51