Finding the Third Proportional to 407,346 and 617,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,346 : 617,578.50 = 617,578.50 : x
2. Step 2: Convert to fraction form
   407,346/617,578.50 = 617,578.50/x
3. Step 3: Cross multiply
   407,346x = 617,578.50 × 617,578.50
4. Step 4: Simplify right side
   407,346x = 381,403,203,662.25
5. Step 5: Solve for x
   x = 381,403,203,662.25/407,346
6. Step 6: Final answer
   x = 936,312.63