Finding the Third Proportional to 51,882 and 113,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,882 : 113,374.50 = 113,374.50 : x
2. Step 2: Convert to fraction form
   51,882/113,374.50 = 113,374.50/x
3. Step 3: Cross multiply
   51,882x = 113,374.50 × 113,374.50
4. Step 4: Simplify right side
   51,882x = 12,853,777,250.25
5. Step 5: Solve for x
   x = 12,853,777,250.25/51,882
6. Step 6: Final answer
   x = 247,750.23