Finding the Third Proportional to 381,684 and 518,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,684 : 518,365.50 = 518,365.50 : x
2. Step 2: Convert to fraction form
   381,684/518,365.50 = 518,365.50/x
3. Step 3: Cross multiply
   381,684x = 518,365.50 × 518,365.50
4. Step 4: Simplify right side
   381,684x = 268,702,791,590.25
5. Step 5: Solve for x
   x = 268,702,791,590.25/381,684
6. Step 6: Final answer
   x = 703,992.81