Finding the Third Proportional to 92,928 and 144,096

Step by Step Solution

1. Step 1: Write the proportion equation
   92,928 : 144,096 = 144,096 : x
2. Step 2: Convert to fraction form
   92,928/144,096 = 144,096/x
3. Step 3: Cross multiply
   92,928x = 144,096 × 144,096
4. Step 4: Simplify right side
   92,928x = 20,763,657,216
5. Step 5: Solve for x
   x = 20,763,657,216/92,928
6. Step 6: Final answer
   x = 223,438.12