Finding the Third Proportional to 51,591 and 113,142

Step by Step Solution

1. Step 1: Write the proportion equation
   51,591 : 113,142 = 113,142 : x
2. Step 2: Convert to fraction form
   51,591/113,142 = 113,142/x
3. Step 3: Cross multiply
   51,591x = 113,142 × 113,142
4. Step 4: Simplify right side
   51,591x = 12,801,112,164
5. Step 5: Solve for x
   x = 12,801,112,164/51,591
6. Step 6: Final answer
   x = 248,126.85