Finding the Third Proportional to 72,928 and 109,464

Step by Step Solution

1. Step 1: Write the proportion equation
   72,928 : 109,464 = 109,464 : x
2. Step 2: Convert to fraction form
   72,928/109,464 = 109,464/x
3. Step 3: Cross multiply
   72,928x = 109,464 × 109,464
4. Step 4: Simplify right side
   72,928x = 11,982,367,296
5. Step 5: Solve for x
   x = 11,982,367,296/72,928
6. Step 6: Final answer
   x = 164,304.07