Finding the Third Proportional to 48,120 and 111,392

Step by Step Solution

1. Step 1: Write the proportion equation
   48,120 : 111,392 = 111,392 : x
2. Step 2: Convert to fraction form
   48,120/111,392 = 111,392/x
3. Step 3: Cross multiply
   48,120x = 111,392 × 111,392
4. Step 4: Simplify right side
   48,120x = 12,408,177,664
5. Step 5: Solve for x
   x = 12,408,177,664/48,120
6. Step 6: Final answer
   x = 257,859.05