Finding the Third Proportional to 326,224 and 459,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   326,224 : 459,388.50 = 459,388.50 : x
2. Step 2: Convert to fraction form
   326,224/459,388.50 = 459,388.50/x
3. Step 3: Cross multiply
   326,224x = 459,388.50 × 459,388.50
4. Step 4: Simplify right side
   326,224x = 211,037,793,932.25
5. Step 5: Solve for x
   x = 211,037,793,932.25/326,224
6. Step 6: Final answer
   x = 646,910.69