Finding the Third Proportional to 120,580.25 and 257,770

Step by Step Solution

1. Step 1: Write the proportion equation
   120,580.25 : 257,770 = 257,770 : x
2. Step 2: Convert to fraction form
   120,580.25/257,770 = 257,770/x
3. Step 3: Cross multiply
   120,580.25x = 257,770 × 257,770
4. Step 4: Simplify right side
   120,580.25x = 66,445,372,900
5. Step 5: Solve for x
   x = 66,445,372,900/120,580.25
6. Step 6: Final answer
   x = 551,046.90