Finding the Third Proportional to 256,849 and 340,811.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,849 : 340,811.50 = 340,811.50 : x
2. Step 2: Convert to fraction form
   256,849/340,811.50 = 340,811.50/x
3. Step 3: Cross multiply
   256,849x = 340,811.50 × 340,811.50
4. Step 4: Simplify right side
   256,849x = 116,152,478,532.25
5. Step 5: Solve for x
   x = 116,152,478,532.25/256,849
6. Step 6: Final answer
   x = 452,220.87