Finding the Third Proportional to 72,896 and 108,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,896 : 108,964.50 = 108,964.50 : x
2. Step 2: Convert to fraction form
   72,896/108,964.50 = 108,964.50/x
3. Step 3: Cross multiply
   72,896x = 108,964.50 × 108,964.50
4. Step 4: Simplify right side
   72,896x = 11,873,262,260.25
5. Step 5: Solve for x
   x = 11,873,262,260.25/72,896
6. Step 6: Final answer
   x = 162,879.48