Finding the Third Proportional to 107,008.50 and 165,923

Step by Step Solution

1. Step 1: Write the proportion equation
   107,008.50 : 165,923 = 165,923 : x
2. Step 2: Convert to fraction form
   107,008.50/165,923 = 165,923/x
3. Step 3: Cross multiply
   107,008.50x = 165,923 × 165,923
4. Step 4: Simplify right side
   107,008.50x = 27,530,441,929
5. Step 5: Solve for x
   x = 27,530,441,929/107,008.50
6. Step 6: Final answer
   x = 257,273.41