Finding the Third Proportional to 72,816 and 105,228

Step by Step Solution

1. Step 1: Write the proportion equation
   72,816 : 105,228 = 105,228 : x
2. Step 2: Convert to fraction form
   72,816/105,228 = 105,228/x
3. Step 3: Cross multiply
   72,816x = 105,228 × 105,228
4. Step 4: Simplify right side
   72,816x = 11,072,931,984
5. Step 5: Solve for x
   x = 11,072,931,984/72,816
6. Step 6: Final answer
   x = 152,067.29