Finding the Third Proportional to 72,780 and 108,723

Step by Step Solution

1. Step 1: Write the proportion equation
   72,780 : 108,723 = 108,723 : x
2. Step 2: Convert to fraction form
   72,780/108,723 = 108,723/x
3. Step 3: Cross multiply
   72,780x = 108,723 × 108,723
4. Step 4: Simplify right side
   72,780x = 11,820,690,729
5. Step 5: Solve for x
   x = 11,820,690,729/72,780
6. Step 6: Final answer
   x = 162,416.75