Finding the Third Proportional to 120,626.69 and 257,818.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,626.69 : 257,818.50 = 257,818.50 : x
2. Step 2: Convert to fraction form
   120,626.69/257,818.50 = 257,818.50/x
3. Step 3: Cross multiply
   120,626.69x = 257,818.50 × 257,818.50
4. Step 4: Simplify right side
   120,626.69x = 66,470,378,942.25
5. Step 5: Solve for x
   x = 66,470,378,942.25/120,626.69
6. Step 6: Final answer
   x = 551,042.06