Finding the Third Proportional to 165,783 and 256,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,783 : 256,018.50 = 256,018.50 : x
2. Step 2: Convert to fraction form
   165,783/256,018.50 = 256,018.50/x
3. Step 3: Cross multiply
   165,783x = 256,018.50 × 256,018.50
4. Step 4: Simplify right side
   165,783x = 65,545,472,342.25
5. Step 5: Solve for x
   x = 65,545,472,342.25/165,783
6. Step 6: Final answer
   x = 395,369.08