Finding the Third Proportional to 256,738.50 and 547,824

Step by Step Solution

1. Step 1: Write the proportion equation
   256,738.50 : 547,824 = 547,824 : x
2. Step 2: Convert to fraction form
   256,738.50/547,824 = 547,824/x
3. Step 3: Cross multiply
   256,738.50x = 547,824 × 547,824
4. Step 4: Simplify right side
   256,738.50x = 300,111,134,976
5. Step 5: Solve for x
   x = 300,111,134,976/256,738.50
6. Step 6: Final answer
   x = 1,168,937.01