Finding the Third Proportional to 72,784 and 108,729

Step by Step Solution

1. Step 1: Write the proportion equation
   72,784 : 108,729 = 108,729 : x
2. Step 2: Convert to fraction form
   72,784/108,729 = 108,729/x
3. Step 3: Cross multiply
   72,784x = 108,729 × 108,729
4. Step 4: Simplify right side
   72,784x = 11,821,995,441
5. Step 5: Solve for x
   x = 11,821,995,441/72,784
6. Step 6: Final answer
   x = 162,425.75