Finding the Third Proportional to 48,002 and 112,144

Step by Step Solution

1. Step 1: Write the proportion equation
   48,002 : 112,144 = 112,144 : x
2. Step 2: Convert to fraction form
   48,002/112,144 = 112,144/x
3. Step 3: Cross multiply
   48,002x = 112,144 × 112,144
4. Step 4: Simplify right side
   48,002x = 12,576,276,736
5. Step 5: Solve for x
   x = 12,576,276,736/48,002
6. Step 6: Final answer
   x = 261,994.85