Finding the Third Proportional to 237,205.50 and 510,678

Step by Step Solution

1. Step 1: Write the proportion equation
   237,205.50 : 510,678 = 510,678 : x
2. Step 2: Convert to fraction form
   237,205.50/510,678 = 510,678/x
3. Step 3: Cross multiply
   237,205.50x = 510,678 × 510,678
4. Step 4: Simplify right side
   237,205.50x = 260,792,019,684
5. Step 5: Solve for x
   x = 260,792,019,684/237,205.50
6. Step 6: Final answer
   x = 1,099,434.96