Finding the Third Proportional to 51,580 and 113,003

Step by Step Solution

1. Step 1: Write the proportion equation
   51,580 : 113,003 = 113,003 : x
2. Step 2: Convert to fraction form
   51,580/113,003 = 113,003/x
3. Step 3: Cross multiply
   51,580x = 113,003 × 113,003
4. Step 4: Simplify right side
   51,580x = 12,769,678,009
5. Step 5: Solve for x
   x = 12,769,678,009/51,580
6. Step 6: Final answer
   x = 247,570.34