Finding the Third Proportional to 256,848 and 340,810

Step by Step Solution

1. Step 1: Write the proportion equation
   256,848 : 340,810 = 340,810 : x
2. Step 2: Convert to fraction form
   256,848/340,810 = 340,810/x
3. Step 3: Cross multiply
   256,848x = 340,810 × 340,810
4. Step 4: Simplify right side
   256,848x = 116,151,456,100
5. Step 5: Solve for x
   x = 116,151,456,100/256,848
6. Step 6: Final answer
   x = 452,218.65