Finding the Third Proportional to 408,840 and 616,945.50

Step by Step Solution

1. Step 1: Write the proportion equation
   408,840 : 616,945.50 = 616,945.50 : x
2. Step 2: Convert to fraction form
   408,840/616,945.50 = 616,945.50/x
3. Step 3: Cross multiply
   408,840x = 616,945.50 × 616,945.50
4. Step 4: Simplify right side
   408,840x = 380,621,749,970.25
5. Step 5: Solve for x
   x = 380,621,749,970.25/408,840
6. Step 6: Final answer
   x = 930,979.72