Finding the Third Proportional to 256,614 and 375,170.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,614 : 375,170.25 = 375,170.25 : x
2. Step 2: Convert to fraction form
   256,614/375,170.25 = 375,170.25/x
3. Step 3: Cross multiply
   256,614x = 375,170.25 × 375,170.25
4. Step 4: Simplify right side
   256,614x = 140,752,716,485.06
5. Step 5: Solve for x
   x = 140,752,716,485.06/256,614
6. Step 6: Final answer
   x = 548,499.76