Finding the Third Proportional to 256,768.50 and 375,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,768.50 : 375,643.50 = 375,643.50 : x
2. Step 2: Convert to fraction form
   256,768.50/375,643.50 = 375,643.50/x
3. Step 3: Cross multiply
   256,768.50x = 375,643.50 × 375,643.50
4. Step 4: Simplify right side
   256,768.50x = 141,108,039,092.25
5. Step 5: Solve for x
   x = 141,108,039,092.25/256,768.50
6. Step 6: Final answer
   x = 549,553.54