Finding the Third Proportional to 72,819 and 109,896.75

Step by Step Solution

1. Step 1: Write the proportion equation
   72,819 : 109,896.75 = 109,896.75 : x
2. Step 2: Convert to fraction form
   72,819/109,896.75 = 109,896.75/x
3. Step 3: Cross multiply
   72,819x = 109,896.75 × 109,896.75
4. Step 4: Simplify right side
   72,819x = 12,077,295,660.56
5. Step 5: Solve for x
   x = 12,077,295,660.56/72,819
6. Step 6: Final answer
   x = 165,853.63