Finding the Third Proportional to 256,847 and 340,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,847 : 340,808.50 = 340,808.50 : x
2. Step 2: Convert to fraction form
   256,847/340,808.50 = 340,808.50/x
3. Step 3: Cross multiply
   256,847x = 340,808.50 × 340,808.50
4. Step 4: Simplify right side
   256,847x = 116,150,433,672.25
5. Step 5: Solve for x
   x = 116,150,433,672.25/256,847
6. Step 6: Final answer
   x = 452,216.43