Finding the Third Proportional to 169,524 and 256,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   169,524 : 256,005.50 = 256,005.50 : x
2. Step 2: Convert to fraction form
   169,524/256,005.50 = 256,005.50/x
3. Step 3: Cross multiply
   169,524x = 256,005.50 × 256,005.50
4. Step 4: Simplify right side
   169,524x = 65,538,816,030.25
5. Step 5: Solve for x
   x = 65,538,816,030.25/169,524
6. Step 6: Final answer
   x = 386,604.94