Finding the Third Proportional to 256,320 and 598,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,320 : 598,873.50 = 598,873.50 : x
2. Step 2: Convert to fraction form
   256,320/598,873.50 = 598,873.50/x
3. Step 3: Cross multiply
   256,320x = 598,873.50 × 598,873.50
4. Step 4: Simplify right side
   256,320x = 358,649,469,002.25
5. Step 5: Solve for x
   x = 358,649,469,002.25/256,320
6. Step 6: Final answer
   x = 1,399,225.46