Finding the Third Proportional to 72,800 and 109,713

Step by Step Solution

1. Step 1: Write the proportion equation
   72,800 : 109,713 = 109,713 : x
2. Step 2: Convert to fraction form
   72,800/109,713 = 109,713/x
3. Step 3: Cross multiply
   72,800x = 109,713 × 109,713
4. Step 4: Simplify right side
   72,800x = 12,036,942,369
5. Step 5: Solve for x
   x = 12,036,942,369/72,800
6. Step 6: Final answer
   x = 165,342.61