Finding the Third Proportional to 120,574.50 and 257,756

Step by Step Solution

1. Step 1: Write the proportion equation
   120,574.50 : 257,756 = 257,756 : x
2. Step 2: Convert to fraction form
   120,574.50/257,756 = 257,756/x
3. Step 3: Cross multiply
   120,574.50x = 257,756 × 257,756
4. Step 4: Simplify right side
   120,574.50x = 66,438,155,536
5. Step 5: Solve for x
   x = 66,438,155,536/120,574.50
6. Step 6: Final answer
   x = 551,013.32