Finding the Third Proportional to 326,256 and 459,445.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,256 : 459,445.50 = 459,445.50 : x
2. Step 2: Convert to fraction form
   326,256/459,445.50 = 459,445.50/x
3. Step 3: Cross multiply
   326,256x = 459,445.50 × 459,445.50
4. Step 4: Simplify right side
   326,256x = 211,090,167,470.25
5. Step 5: Solve for x
   x = 211,090,167,470.25/326,256
6. Step 6: Final answer
   x = 647,007.77