Finding the Third Proportional to 256,018.50 and 368,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,018.50 : 368,785.50 = 368,785.50 : x
2. Step 2: Convert to fraction form
   256,018.50/368,785.50 = 368,785.50/x
3. Step 3: Cross multiply
   256,018.50x = 368,785.50 × 368,785.50
4. Step 4: Simplify right side
   256,018.50x = 136,002,745,010.25
5. Step 5: Solve for x
   x = 136,002,745,010.25/256,018.50
6. Step 6: Final answer
   x = 531,222.33