Finding the Third Proportional to 204,927.50 and 419,970

Step by Step Solution

1. Step 1: Write the proportion equation
   204,927.50 : 419,970 = 419,970 : x
2. Step 2: Convert to fraction form
   204,927.50/419,970 = 419,970/x
3. Step 3: Cross multiply
   204,927.50x = 419,970 × 419,970
4. Step 4: Simplify right side
   204,927.50x = 176,374,800,900
5. Step 5: Solve for x
   x = 176,374,800,900/204,927.50
6. Step 6: Final answer
   x = 860,669.27