Finding the Third Proportional to 51,868 and 113,503.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,868 : 113,503.50 = 113,503.50 : x
2. Step 2: Convert to fraction form
   51,868/113,503.50 = 113,503.50/x
3. Step 3: Cross multiply
   51,868x = 113,503.50 × 113,503.50
4. Step 4: Simplify right side
   51,868x = 12,883,044,512.25
5. Step 5: Solve for x
   x = 12,883,044,512.25/51,868
6. Step 6: Final answer
   x = 248,381.36