Finding the Third Proportional to 51,583 and 113,007

Step by Step Solution

1. Step 1: Write the proportion equation
   51,583 : 113,007 = 113,007 : x
2. Step 2: Convert to fraction form
   51,583/113,007 = 113,007/x
3. Step 3: Cross multiply
   51,583x = 113,007 × 113,007
4. Step 4: Simplify right side
   51,583x = 12,770,582,049
5. Step 5: Solve for x
   x = 12,770,582,049/51,583
6. Step 6: Final answer
   x = 247,573.47