Finding the Third Proportional to 51,907 and 113,345

Step by Step Solution

1. Step 1: Write the proportion equation
   51,907 : 113,345 = 113,345 : x
2. Step 2: Convert to fraction form
   51,907/113,345 = 113,345/x
3. Step 3: Cross multiply
   51,907x = 113,345 × 113,345
4. Step 4: Simplify right side
   51,907x = 12,847,089,025
5. Step 5: Solve for x
   x = 12,847,089,025/51,907
6. Step 6: Final answer
   x = 247,502.05