Finding the Third Proportional to 256,772 and 375,648

Step by Step Solution

1. Step 1: Write the proportion equation
   256,772 : 375,648 = 375,648 : x
2. Step 2: Convert to fraction form
   256,772/375,648 = 375,648/x
3. Step 3: Cross multiply
   256,772x = 375,648 × 375,648
4. Step 4: Simplify right side
   256,772x = 141,111,419,904
5. Step 5: Solve for x
   x = 141,111,419,904/256,772
6. Step 6: Final answer
   x = 549,559.22