Finding the Third Proportional to 314,617.50 and 681,723

Step by Step Solution

1. Step 1: Write the proportion equation
   314,617.50 : 681,723 = 681,723 : x
2. Step 2: Convert to fraction form
   314,617.50/681,723 = 681,723/x
3. Step 3: Cross multiply
   314,617.50x = 681,723 × 681,723
4. Step 4: Simplify right side
   314,617.50x = 464,746,248,729
5. Step 5: Solve for x
   x = 464,746,248,729/314,617.50
6. Step 6: Final answer
   x = 1,477,178.63