Finding the Third Proportional to 51,846 and 113,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,846 : 113,735.50 = 113,735.50 : x
2. Step 2: Convert to fraction form
   51,846/113,735.50 = 113,735.50/x
3. Step 3: Cross multiply
   51,846x = 113,735.50 × 113,735.50
4. Step 4: Simplify right side
   51,846x = 12,935,763,960.25
5. Step 5: Solve for x
   x = 12,935,763,960.25/51,846
6. Step 6: Final answer
   x = 249,503.61