Finding the Third Proportional to 269,221.50 and 416,813

Step by Step Solution

1. Step 1: Write the proportion equation
   269,221.50 : 416,813 = 416,813 : x
2. Step 2: Convert to fraction form
   269,221.50/416,813 = 416,813/x
3. Step 3: Cross multiply
   269,221.50x = 416,813 × 416,813
4. Step 4: Simplify right side
   269,221.50x = 173,733,076,969
5. Step 5: Solve for x
   x = 173,733,076,969/269,221.50
6. Step 6: Final answer
   x = 645,316.50