Finding the Third Proportional to 48,286 and 111,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,286 : 111,872.50 = 111,872.50 : x
2. Step 2: Convert to fraction form
   48,286/111,872.50 = 111,872.50/x
3. Step 3: Cross multiply
   48,286x = 111,872.50 × 111,872.50
4. Step 4: Simplify right side
   48,286x = 12,515,456,256.25
5. Step 5: Solve for x
   x = 12,515,456,256.25/48,286
6. Step 6: Final answer
   x = 259,194.31