Finding the Third Proportional to 314,608.50 and 681,705

Step by Step Solution

1. Step 1: Write the proportion equation
   314,608.50 : 681,705 = 681,705 : x
2. Step 2: Convert to fraction form
   314,608.50/681,705 = 681,705/x
3. Step 3: Cross multiply
   314,608.50x = 681,705 × 681,705
4. Step 4: Simplify right side
   314,608.50x = 464,721,707,025
5. Step 5: Solve for x
   x = 464,721,707,025/314,608.50
6. Step 6: Final answer
   x = 1,477,142.88