Finding the Third Proportional to 51,872.50 and 113,788

Step by Step Solution

1. Step 1: Write the proportion equation
   51,872.50 : 113,788 = 113,788 : x
2. Step 2: Convert to fraction form
   51,872.50/113,788 = 113,788/x
3. Step 3: Cross multiply
   51,872.50x = 113,788 × 113,788
4. Step 4: Simplify right side
   51,872.50x = 12,947,708,944
5. Step 5: Solve for x
   x = 12,947,708,944/51,872.50
6. Step 6: Final answer
   x = 249,606.42