Finding the Third Proportional to 72,928 and 109,616

Step by Step Solution

1. Step 1: Write the proportion equation
   72,928 : 109,616 = 109,616 : x
2. Step 2: Convert to fraction form
   72,928/109,616 = 109,616/x
3. Step 3: Cross multiply
   72,928x = 109,616 × 109,616
4. Step 4: Simplify right side
   72,928x = 12,015,667,456
5. Step 5: Solve for x
   x = 12,015,667,456/72,928
6. Step 6: Final answer
   x = 164,760.69