Finding the Third Proportional to 51,844 and 113,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,844 : 113,772.50 = 113,772.50 : x
2. Step 2: Convert to fraction form
   51,844/113,772.50 = 113,772.50/x
3. Step 3: Cross multiply
   51,844x = 113,772.50 × 113,772.50
4. Step 4: Simplify right side
   51,844x = 12,944,181,756.25
5. Step 5: Solve for x
   x = 12,944,181,756.25/51,844
6. Step 6: Final answer
   x = 249,675.60