Finding the Third Proportional to 51,582 and 113,005

Step by Step Solution

1. Step 1: Write the proportion equation
   51,582 : 113,005 = 113,005 : x
2. Step 2: Convert to fraction form
   51,582/113,005 = 113,005/x
3. Step 3: Cross multiply
   51,582x = 113,005 × 113,005
4. Step 4: Simplify right side
   51,582x = 12,770,130,025
5. Step 5: Solve for x
   x = 12,770,130,025/51,582
6. Step 6: Final answer
   x = 247,569.50