Finding the Third Proportional to 49,655 and 113,445

Step by Step Solution

1. Step 1: Write the proportion equation
   49,655 : 113,445 = 113,445 : x
2. Step 2: Convert to fraction form
   49,655/113,445 = 113,445/x
3. Step 3: Cross multiply
   49,655x = 113,445 × 113,445
4. Step 4: Simplify right side
   49,655x = 12,869,768,025
5. Step 5: Solve for x
   x = 12,869,768,025/49,655
6. Step 6: Final answer
   x = 259,183.73